10357079040 has 1056 divisors, whose sum is σ = 47044972800. Its totient is φ = 2136637440.

The previous prime is 10357079027. The next prime is 10357079077. The reversal of 10357079040 is 4097075301.

It is a happy number.

10357079040 is a `hidden beast` number, since 10 + 3 + 570 + 79 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×10357079040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10357078986 and 10357079004.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 74511291 + ... + 74511429.

Almost surely, 2^10357079040 is an apocalyptic number.

10357079040 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 10357079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522486400).

10357079040 is an abundant number, since it is smaller than the sum of its proper divisors (36687893760).

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

10357079040 is a wasteful number, since it uses less digits than its factorization.

10357079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10357079040 in words is "ten billion, three hundred fifty-seven million, seventy-nine thousand, forty".