114440506562400 has 576 divisors, whose sum is σ = 383660830760256. Its totient is φ = 29616537600000.

The previous prime is 114440506562399. The next prime is 114440506562429. The reversal of 114440506562400 is 4265605044411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15429483492 + ... + 15429490908.

It is an arithmetic number, because the mean of its divisors is an integer number (666077831181).

Almost surely, 2^{114440506562400} is an apocalyptic number.

114440506562400 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 114440506562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191830415380128).

114440506562400 is an abundant number, since it is smaller than the sum of its proper divisors (269220324197856).

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

114440506562400 is a wasteful number, since it uses less digits than its factorization.

114440506562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8782 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 114440506562400 in words is "one hundred fourteen trillion, four hundred forty billion, five hundred six million, five hundred sixty-two thousand, four hundred".