1010656634400 has 1728 divisors, whose sum is σ = 4504211712000. Its totient is φ = 220628136960.

The previous prime is 1010656634399. The next prime is 1010656634411. The reversal of 1010656634400 is 44366560101.

It is a happy number.

1010656634400 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 5 + 6 + 634 + 4 + 0 + 0 = 666.

1010656634400 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1533621271 + ... + 1533621929.

It is an arithmetic number, because the mean of its divisors is an integer number (2606604000).

Almost surely, 2^{1010656634400} is an apocalyptic number.

1010656634400 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 1010656634400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856000).

1010656634400 is an abundant number, since it is smaller than the sum of its proper divisors (3493555077600).

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

1010656634400 is an equidigital number, since it uses as much as digits as its factorization.

1010656634400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1010656634400 in words is "one trillion, ten billion, six hundred fifty-six million, six hundred thirty-four thousand, four hundred".