11340280416960 has 252 divisors, whose sum is σ = 42874188555744. Its totient is φ = 2749158804480.

The previous prime is 11340280416953. The next prime is 11340280416967. The reversal of 11340280416960 is 6961408204311.

11340280416960 is a `hidden beast` number, since 1 + 1 + 3 + 402 + 80 + 4 + 169 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11340280416953) and next prime (11340280416967).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11340280416967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15922584 + ... + 16619543.

It is an arithmetic number, because the mean of its divisors is an integer number (170135668872).

Almost surely, 2^{11340280416960} is an apocalyptic number.

11340280416960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11340280416960 is an abundant number, since it is smaller than the sum of its proper divisors (31533908138784).

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

11340280416960 is a wasteful number, since it uses less digits than its factorization.

11340280416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32542172 (or 32542148 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11340280416960 in words is "eleven trillion, three hundred forty billion, two hundred eighty million, four hundred sixteen thousand, nine hundred sixty".