11339909440704 has 1120 divisors, whose sum is σ = 39127516376256. Its totient is φ = 3216263086080.

The previous prime is 11339909440681. The next prime is 11339909440781. The reversal of 11339909440704 is 40704490993311.

11339909440704 is a `hidden beast` number, since 1 + 13 + 39 + 90 + 9 + 440 + 70 + 4 = 666.

It is a super-2 number, since 2×11339909440704² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18499036302 + ... + 18499036914.

Almost surely, 2^{11339909440704} 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 11339909440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563758188128).

11339909440704 is an abundant number, since it is smaller than the sum of its proper divisors (27787606935552).

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

11339909440704 is a wasteful number, since it uses less digits than its factorization.

11339909440704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 11339909440704 in words is "eleven trillion, three hundred thirty-nine billion, nine hundred nine million, four hundred forty thousand, seven hundred four".