214001231114400 has 144 divisors (see below), whose sum is σ = 726859833868224. Its totient is φ = 54585821255680.

The previous prime is 214001231114323. The next prime is 214001231114449. The reversal of 214001231114400 is 4411132100412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938361749 + ... + 1938472148.

It is an arithmetic number, because the mean of its divisors is an integer number (5047637735196).

Almost surely, 2^{214001231114400} is an apocalyptic number.

214001231114400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214001231114400 is an abundant number, since it is smaller than the sum of its proper divisors (512858602753824).

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

214001231114400 is a wasteful number, since it uses less digits than its factorization.

214001231114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876833943 (or 3876833930 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 214001231114400 its reverse (4411132100412), we get a palindrome (218412363214812).

The spelling of 214001231114400 in words is "two hundred fourteen trillion, one billion, two hundred thirty-one million, one hundred fourteen thousand, four hundred".