10112594207040 has 168 divisors, whose sum is σ = 37458734513928. Its totient is φ = 2489253949440.

The previous prime is 10112594207003. The next prime is 10112594207041. The reversal of 10112594207040 is 4070249521101.

10112594207040 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 594 + 20 + 7 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34204283136 + 10078389923904 = 184944^2 + 3174648^2 .

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 = 10112594206986 and 10112594207004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112594207041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135013231 + ... + 135088110.

It is an arithmetic number, because the mean of its divisors is an integer number (222968657821).

Almost surely, 2^{10112594207040} is an apocalyptic number.

10112594207040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112594207040 is an abundant number, since it is smaller than the sum of its proper divisors (27346140306888).

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

10112594207040 is a wasteful number, since it uses less digits than its factorization.

10112594207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270101377 (or 270101364 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10112594207040 in words is "ten trillion, one hundred twelve billion, five hundred ninety-four million, two hundred seven thousand, forty".