10402621455600 has 1440 divisors, whose sum is σ = 43060672512000. Its totient is φ = 2298249676800.

The previous prime is 10402621455593. The next prime is 10402621455623. The reversal of 10402621455600 is 655412620401.

10402621455600 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 2 + 6 + 2 + 1 + 45 + 5 + 600 = 666.

10402621455600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 2167662001 + ... + 2167666799.

It is an arithmetic number, because the mean of its divisors is an integer number (29903244800).

Almost surely, 2^{10402621455600} is an apocalyptic number.

10402621455600 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 10402621455600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21530336256000).

10402621455600 is an abundant number, since it is smaller than the sum of its proper divisors (32658051056400).

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

10402621455600 is a wasteful number, since it uses less digits than its factorization.

10402621455600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10402621455600 in words is "ten trillion, four hundred two billion, six hundred twenty-one million, four hundred fifty-five thousand, six hundred".