214144031400 has 96 divisors (see below), whose sum is σ = 714911638560. Its totient is φ = 52712375040.

The previous prime is 214144031371. The next prime is 214144031417. The reversal of 214144031400 is 4130441412.

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, 13719382 + ... + 13734981.

It is an arithmetic number, because the mean of its divisors is an integer number (7446996235).

Almost surely, 2^214144031400 is an apocalyptic number.

214144031400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214144031400 is an abundant number, since it is smaller than the sum of its proper divisors (500767607160).

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

214144031400 is a wasteful number, since it uses less digits than its factorization.

214144031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27454395 (or 27454386 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214144031400 its reverse (4130441412), we get a palindrome (218274472812).

The spelling of 214144031400 in words is "two hundred fourteen billion, one hundred forty-four million, thirty-one thousand, four hundred".