10644139400400 has 720 divisors, whose sum is σ = 41851960969728. Its totient is φ = 2576484288000.

The previous prime is 10644139400371. The next prime is 10644139400423. The reversal of 10644139400400 is 400493144601.

It is a happy number.

10644139400400 is a `hidden beast` number, since 1 + 0 + 644 + 1 + 3 + 9 + 4 + 0 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10644139400400² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 738809997 + ... + 738824403.

Almost surely, 2^{10644139400400} is an apocalyptic number.

10644139400400 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 10644139400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20925980484864).

10644139400400 is an abundant number, since it is smaller than the sum of its proper divisors (31207821569328).

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

10644139400400 is a wasteful number, since it uses less digits than its factorization.

10644139400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10644139400400 in words is "ten trillion, six hundred forty-four billion, one hundred thirty-nine million, four hundred thousand, four hundred".