111142941940800 has 1008 divisors, whose sum is σ = 518424059212800. Its totient is φ = 21879125913600.

The previous prime is 111142941940769. The next prime is 111142941940859. The reversal of 111142941940800 is 8049149241111.

111142941940800 is a `hidden beast` number, since 1 + 1 + 1 + 142 + 94 + 19 + 408 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 18429381 + ... + 23705019.

Almost surely, 2^{111142941940800} is an apocalyptic number.

111142941940800 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 111142941940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259212029606400).

111142941940800 is an abundant number, since it is smaller than the sum of its proper divisors (407281117272000).

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

111142941940800 is a wasteful number, since it uses less digits than its factorization.

111142941940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275704 (or 5275686 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 111142941940800 in words is "one hundred eleven trillion, one hundred forty-two billion, nine hundred forty-one million, nine hundred forty thousand, eight hundred".