11742400413 has 16 divisors (see below), whose sum is σ = 17401181760. Its totient is φ = 7826002128.

The previous prime is 11742400409. The next prime is 11742400421. The reversal of 11742400413 is 31400424711.

11742400413 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 240 + 0 + 413 = 666.

It is not a de Polignac number, because 11742400413 - 2² = 11742400409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11742400403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34906 + ... + 157172.

It is an arithmetic number, because the mean of its divisors is an integer number (1087573860).

Almost surely, 2^11742400413 is an apocalyptic number.

It is an amenable number.

11742400413 is a deficient number, since it is larger than the sum of its proper divisors (5658781347).

11742400413 is a wasteful number, since it uses less digits than its factorization.

11742400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125833 (or 125827 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 11742400413 in words is "eleven billion, seven hundred forty-two million, four hundred thousand, four hundred thirteen".