114010400 has 72 divisors (see below), whose sum is σ = 318104640. Its totient is φ = 39087360.

The previous prime is 114010387. The next prime is 114010427. The reversal of 114010400 is 4010411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4580 + ... + 15779.

It is an arithmetic number, because the mean of its divisors is an integer number (4418120).

Almost surely, 2^114010400 is an apocalyptic number.

114010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010400 is an abundant number, since it is smaller than the sum of its proper divisors (204094240).

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

114010400 is a wasteful number, since it uses less digits than its factorization.

114010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20386 (or 20373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 114010400 is about 10677.5652655463. The cubic root of 114010400 is about 484.8955030476.

Adding to 114010400 its sum of digits (11), we get a palindrome (114010411).

Adding to 114010400 its reverse (4010411), we get a palindrome (118020811).

The spelling of 114010400 in words is "one hundred fourteen million, ten thousand, four hundred".