11999112409440 has 960 divisors, whose sum is σ = 47242117181952. Its totient is φ = 2848230604800.

The previous prime is 11999112409423. The next prime is 11999112409477. The reversal of 11999112409440 is 4490421199911.

11999112409440 is a `hidden beast` number, since 1 + 1 + 99 + 91 + 1 + 24 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×11999112409440² (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 a congruent number.

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, 1530299920 + ... + 1530307760.

Almost surely, 2^{11999112409440} is an apocalyptic number.

11999112409440 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 11999112409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23621058590976).

11999112409440 is an abundant number, since it is smaller than the sum of its proper divisors (35243004772512).

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

11999112409440 is a wasteful number, since it uses less digits than its factorization.

11999112409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8205 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 11999112409440 in words is "eleven trillion, nine hundred ninety-nine billion, one hundred twelve million, four hundred nine thousand, four hundred forty".