11407084416 has 1024 divisors, whose sum is σ = 46061568000. Its totient is φ = 2693357568.

The previous prime is 11407084387. The next prime is 11407084523. The reversal of 11407084416 is 61448070411.

11407084416 is a `hidden beast` number, since 1 + 140 + 70 + 8 + 441 + 6 = 666.

It is a super-2 number, since 2×11407084416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137434711 + ... + 137434793.

It is an arithmetic number, because the mean of its divisors is an integer number (44982000).

Almost surely, 2^11407084416 is an apocalyptic number.

11407084416 is a gapful number since it is divisible by the number (16) 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 11407084416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23030784000).

11407084416 is an abundant number, since it is smaller than the sum of its proper divisors (34654483584).

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

11407084416 is a wasteful number, since it uses less digits than its factorization.

11407084416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11407084416 in words is "eleven billion, four hundred seven million, eighty-four thousand, four hundred sixteen".