11426932910400 has 336 divisors, whose sum is σ = 45100588853760. Its totient is φ = 2474403379200.

The previous prime is 11426932910399. The next prime is 11426932910411. The reversal of 11426932910400 is 401923962411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11426932910400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8311266 + ... + 9588065.

Almost surely, 2^{11426932910400} is an apocalyptic number.

11426932910400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11426932910400 is an abundant number, since it is smaller than the sum of its proper divisors (33673655943360).

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

11426932910400 is a wasteful number, since it uses less digits than its factorization.

11426932910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17899382 (or 17899367 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 11426932910400 in words is "eleven trillion, four hundred twenty-six billion, nine hundred thirty-two million, nine hundred ten thousand, four hundred".