114400404052400 has 120 divisors (see below), whose sum is σ = 278981605363344. Its totient is φ = 45071931801600.

The previous prime is 114400404052393. The next prime is 114400404052409. The reversal of 114400404052400 is 4250404004411.

It is not an unprimeable number, because it can be changed into a prime (114400404052409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234336560 + ... + 234824240.

Almost surely, 2^{114400404052400} is an apocalyptic number.

114400404052400 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 114400404052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139490802681672).

114400404052400 is an abundant number, since it is smaller than the sum of its proper divisors (164581201310944).

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

114400404052400 is a wasteful number, since it uses less digits than its factorization.

114400404052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496519 (or 496508 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 114400404052400 its reverse (4250404004411), we get a palindrome (118650808056811).

The spelling of 114400404052400 in words is "one hundred fourteen trillion, four hundred billion, four hundred four million, fifty-two thousand, four hundred".