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1040729770080 = 25355711313217
BaseRepresentation
bin11110010010100000101…
…01000000100001100000
310200111022020200010100000
433021100111000201200
5114022403310120310
62114034334500000
7135122153041260
oct17112025004140
93614266603300
101040729770080
11371409907000
1214984a364600
13771a95b1900
143852b8db7a0
151c1123514c0
hexf250540860

1040729770080 has 3456 divisors, whose sum is σ = 5308206898176. Its totient is φ = 187878113280.

The previous prime is 1040729770061. The next prime is 1040729770081. The reversal of 1040729770080 is 800779270401.

It is a happy number.

1040729770080 is a `hidden beast` number, since 10 + 407 + 2 + 97 + 70 + 0 + 80 = 666.

It is a super-4 number, since 4×10407297700804 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040729770081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 61219398232 + ... + 61219398248.

It is an arithmetic number, because the mean of its divisors is an integer number (1535939496).

Almost surely, 21040729770080 is an apocalyptic number.

1040729770080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040729770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654103449088).

1040729770080 is an abundant number, since it is smaller than the sum of its proper divisors (4267477128096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1040729770080 is a wasteful number, since it uses less digits than its factorization.

1040729770080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 1040729770080 in words is "one trillion, forty billion, seven hundred twenty-nine million, seven hundred seventy thousand, eighty".