114002000400 has 60 divisors (see below), whose sum is σ = 365186411792. Its totient is φ = 30400533120.

The previous prime is 114002000383. The next prime is 114002000401. The reversal of 114002000400 is 4000200411.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (114002000401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47499634 + ... + 47502033.

Almost surely, 2^114002000400 is an apocalyptic number.

114002000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114002000400 is an abundant number, since it is smaller than the sum of its proper divisors (251184411392).

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

114002000400 is a wasteful number, since it uses less digits than its factorization.

114002000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95001688 (or 95001677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 114002000400 its reverse (4000200411), we get a palindrome (118002200811).

The spelling of 114002000400 in words is "one hundred fourteen billion, two million, four hundred", and thus it is an aban number.