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10400003712000 = 210325376719249
BaseRepresentation
bin1001011101010111000010…
…0001101110010000000000
31100211020020010210012201200
42113111300201232100000
52330343201422241000
634041410140501200
72122242533655420
oct227256041562000
940736203705650
1010400003712000
11334a686a71291
1211bb71024a800
135a59404962c6
1427d5119ba480
151307dbd21500
hex9757086e400

10400003712000 has 1056 divisors, whose sum is σ = 43472581152000. Its totient is φ = 2341542297600.

The previous prime is 10400003711957. The next prime is 10400003712031. The reversal of 10400003712000 is 21730000401.

It is a super-2 number, since 2×104000037120002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540278376 + ... + 540297624.

It is an arithmetic number, because the mean of its divisors is an integer number (41167217000).

Almost surely, 210400003712000 is an apocalyptic number.

10400003712000 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 10400003712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21736290576000).

10400003712000 is an abundant number, since it is smaller than the sum of its proper divisors (33072577440000).

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

10400003712000 is a wasteful number, since it uses less digits than its factorization.

10400003712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19364 (or 19333 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 10400003712000 its reverse (21730000401), we get a palindrome (10421733712401).

The spelling of 10400003712000 in words is "ten trillion, four hundred billion, three million, seven hundred twelve thousand".