114071270400 has 396 divisors, whose sum is σ = 421630644864. Its totient is φ = 29435904000.

The previous prime is 114071270371. The next prime is 114071270459. The reversal of 114071270400 is 4072170411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7134415 + ... + 7150385.

Almost surely, 2^114071270400 is an apocalyptic number.

114071270400 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 114071270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210815322432).

114071270400 is an abundant number, since it is smaller than the sum of its proper divisors (307559374464).

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

114071270400 is a wasteful number, since it uses less digits than its factorization.

114071270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16038 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 114071270400 in words is "one hundred fourteen billion, seventy-one million, two hundred seventy thousand, four hundred".