11407938092928 has 384 divisors, whose sum is σ = 36675904967520. Its totient is φ = 3508811882496.

The previous prime is 11407938092927. The next prime is 11407938092989. The reversal of 11407938092928 is 82929083970411.

11407938092928 is a `hidden beast` number, since 1 + 14 + 0 + 79 + 380 + 92 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11407938092928² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11407938092923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052892326 + ... + 2052897882.

Almost surely, 2^{11407938092928} is an apocalyptic number.

11407938092928 is a gapful number since it is divisible by the number (18) 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 11407938092928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18337952483760).

11407938092928 is an abundant number, since it is smaller than the sum of its proper divisors (25267966874592).

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

11407938092928 is an equidigital number, since it uses as much as digits as its factorization.

11407938092928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 11407938092928 in words is "eleven trillion, four hundred seven billion, nine hundred thirty-eight million, ninety-two thousand, nine hundred twenty-eight".