114040032000 has 288 divisors, whose sum is σ = 381340936704. Its totient is φ = 30205440000.

The previous prime is 114040031983. The next prime is 114040032023. The reversal of 114040032000 is 230040411.

It is a super-2 number, since 2×114040032000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 14492067 + ... + 14499933.

Almost surely, 2^114040032000 is an apocalyptic number.

114040032000 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 114040032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190670468352).

114040032000 is an abundant number, since it is smaller than the sum of its proper divisors (267300904704).

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

114040032000 is an equidigital number, since it uses as much as digits as its factorization.

114040032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 114040032000 its reverse (230040411), we get a palindrome (114270072411).

The spelling of 114040032000 in words is "one hundred fourteen billion, forty million, thirty-two thousand".