1002413305656 has 512 divisors, whose sum is σ = 3459262464000. Its totient is φ = 262401638400.

The previous prime is 1002413305609. The next prime is 1002413305661. The reversal of 1002413305656 is 6565033142001.

1002413305656 is a `hidden beast` number, since 100 + 241 + 3 + 305 + 6 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1002413305656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696603385 + ... + 696604823.

It is an arithmetic number, because the mean of its divisors is an integer number (6756372000).

Almost surely, 2^{1002413305656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002413305656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729631232000).

1002413305656 is an abundant number, since it is smaller than the sum of its proper divisors (2456849158344).

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

1002413305656 is a wasteful number, since it uses less digits than its factorization.

1002413305656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 1002413305656 its reverse (6565033142001), we get a palindrome (7567446447657).

The spelling of 1002413305656 in words is "one trillion, two billion, four hundred thirteen million, three hundred five thousand, six hundred fifty-six".