11407412736 has 400 divisors, whose sum is σ = 37075484160. Its totient is φ = 3478671360.

The previous prime is 11407412719. The next prime is 11407412747. The reversal of 11407412736 is 63721470411.

11407412736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11407412736.

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 39 ways as a sum of consecutive naturals, for example, 24426775 + ... + 24427241.

Almost surely, 2^11407412736 is an apocalyptic number.

11407412736 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 11407412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18537742080).

11407412736 is an abundant number, since it is smaller than the sum of its proper divisors (25668071424).

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

11407412736 is an equidigital number, since it uses as much as digits as its factorization.

11407412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11407412736 in words is "eleven billion, four hundred seven million, four hundred twelve thousand, seven hundred thirty-six".