11400941280960 has 4032 divisors, whose sum is σ = 54912473441280. Its totient is φ = 2200117248000.

The previous prime is 11400941280913. The next prime is 11400941281007. The reversal of 11400941280960 is 6908214900411.

It is a happy number.

11400941280960 is a `hidden beast` number, since 1 + 140 + 0 + 9 + 412 + 8 + 0 + 96 + 0 = 666.

11400941280960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11400941280913) and next prime (11400941281007).

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 160576637725 + ... + 160576637795.

It is an arithmetic number, because the mean of its divisors is an integer number (13619165040).

Almost surely, 2^{11400941280960} is an apocalyptic number.

11400941280960 is a gapful number since it is divisible by the number (10) 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 11400941280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27456236720640).

11400941280960 is an abundant number, since it is smaller than the sum of its proper divisors (43511532160320).

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

11400941280960 is a wasteful number, since it uses less digits than its factorization.

11400941280960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11400941280960 in words is "eleven trillion, four hundred billion, nine hundred forty-one million, two hundred eighty thousand, nine hundred sixty".