1002400683264 has 144 divisors (see below), whose sum is σ = 3027345834240. Its totient is φ = 327024230400.

The previous prime is 1002400683259. The next prime is 1002400683289. The reversal of 1002400683264 is 4623860042001.

1002400683264 is a `hidden beast` number, since 100 + 2 + 400 + 68 + 32 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1217937 + ... + 1867664.

It is an arithmetic number, because the mean of its divisors is an integer number (21023234960).

Almost surely, 2^{1002400683264} is an apocalyptic number.

It is an amenable number.

1002400683264 is an abundant number, since it is smaller than the sum of its proper divisors (2024945150976).

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

1002400683264 is an equidigital number, since it uses as much as digits as its factorization.

1002400683264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085673 (or 3085653 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1002400683264 in words is "one trillion, two billion, four hundred million, six hundred eighty-three thousand, two hundred sixty-four".