11407434688 has 56 divisors (see below), whose sum is σ = 24413931360. Its totient is φ = 5257190400.

The previous prime is 11407434671. The next prime is 11407434713. The reversal of 11407434688 is 88643470411.

It is a super-3 number, since 3×11407434688³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 573453 + ... + 593011.

It is an arithmetic number, because the mean of its divisors is an integer number (435963060).

Almost surely, 2^11407434688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11407434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206965680).

11407434688 is an abundant number, since it is smaller than the sum of its proper divisors (13006496672).

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

11407434688 is a wasteful number, since it uses less digits than its factorization.

11407434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20285 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 11407434688 in words is "eleven billion, four hundred seven million, four hundred thirty-four thousand, six hundred eighty-eight".