10204604465040 has 160 divisors (see below), whose sum is σ = 35151880492800. Its totient is φ = 2721019806720.

The previous prime is 10204604464981. The next prime is 10204604465047. The reversal of 10204604465040 is 4056440640201.

10204604465040 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 604 + 4 + 6 + 5 + 0 + 40 = 666.

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 = 10204604464986 and 10204604465004.

It is not an unprimeable number, because it can be changed into a prime (10204604465047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29182756 + ... + 29530364.

It is an arithmetic number, because the mean of its divisors is an integer number (219699253080).

Almost surely, 2^{10204604465040} is an apocalyptic number.

10204604465040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204604465040 is an abundant number, since it is smaller than the sum of its proper divisors (24947276027760).

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

10204604465040 is a wasteful number, since it uses less digits than its factorization.

10204604465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361222 (or 361210 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10204604465040 in words is "ten trillion, two hundred four billion, six hundred four million, four hundred sixty-five thousand, forty".