10361134434400 has 36 divisors (see below), whose sum is σ = 25294119439932. Its totient is φ = 4144453773440.

The previous prime is 10361134434383. The next prime is 10361134434421. The reversal of 10361134434400 is 443443116301.

It is a happy number.

It is a super-3 number, since 3×10361134434400³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6475708222 + ... + 6475709821.

It is an arithmetic number, because the mean of its divisors is an integer number (702614428887).

Almost surely, 2^{10361134434400} is an apocalyptic number.

10361134434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10361134434400 is an abundant number, since it is smaller than the sum of its proper divisors (14932985005532).

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

10361134434400 is a wasteful number, since it uses less digits than its factorization.

10361134434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951418063 (or 12951418050 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10361134434400 in words is "ten trillion, three hundred sixty-one billion, one hundred thirty-four million, four hundred thirty-four thousand, four hundred".