111990075301440 has 4480 divisors, whose sum is σ = 512205837631488. Its totient is φ = 22643791626240.

The previous prime is 111990075301427. The next prime is 111990075301513. The reversal of 111990075301440 is 44103570099111.

111990075301440 is a `hidden beast` number, since 1 + 1 + 19 + 90 + 0 + 7 + 530 + 14 + 4 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 817445805052 + ... + 817445805188.

Almost surely, 2^{111990075301440} is an apocalyptic number.

111990075301440 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 111990075301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256102918815744).

111990075301440 is an abundant number, since it is smaller than the sum of its proper divisors (400215762330048).

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

111990075301440 is a wasteful number, since it uses less digits than its factorization.

111990075301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 111990075301440 in words is "one hundred eleven trillion, nine hundred ninety billion, seventy-five million, three hundred one thousand, four hundred forty".