111141931440 has 160 divisors (see below), whose sum is σ = 354023341056. Its totient is φ = 28827832320.

The previous prime is 111141931429. The next prime is 111141931451. The reversal of 111141931440 is 44139141111.

It is an interprime number because it is at equal distance from previous prime (111141931429) and next prime (111141931451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 111141931398 and 111141931407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2464777 + ... + 2509463.

Almost surely, 2^111141931440 is an apocalyptic number.

111141931440 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 111141931440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177011670528).

111141931440 is an abundant number, since it is smaller than the sum of its proper divisors (242881409616).

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

111141931440 is a wasteful number, since it uses less digits than its factorization.

111141931440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44987 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 111141931440 in words is "one hundred eleven billion, one hundred forty-one million, nine hundred thirty-one thousand, four hundred forty".