10120436756400 has 120 divisors (see below), whose sum is σ = 34326140267664. Its totient is φ = 2540031180800.

The previous prime is 10120436756393. The next prime is 10120436756429. The reversal of 10120436756400 is 465763402101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248029521 + ... + 248070320.

Almost surely, 2^{10120436756400} is an apocalyptic number.

10120436756400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120436756400 is an abundant number, since it is smaller than the sum of its proper divisors (24205703511264).

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

10120436756400 is a wasteful number, since it uses less digits than its factorization.

10120436756400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496099879 (or 496099868 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 10120436756400 in words is "ten trillion, one hundred twenty billion, four hundred thirty-six million, seven hundred fifty-six thousand, four hundred".