214241202400 has 36 divisors (see below), whose sum is σ = 523016337312. Its totient is φ = 85696480640.

The previous prime is 214241202397. The next prime is 214241202403. The reversal of 214241202400 is 4202142412.

It is an interprime number because it is at equal distance from previous prime (214241202397) and next prime (214241202403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214241202403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133899952 + ... + 133901551.

It is an arithmetic number, because the mean of its divisors is an integer number (14528231592).

Almost surely, 2^214241202400 is an apocalyptic number.

214241202400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214241202400 is an abundant number, since it is smaller than the sum of its proper divisors (308775134912).

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

214241202400 is a wasteful number, since it uses less digits than its factorization.

214241202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267801523 (or 267801510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 214241202400 its reverse (4202142412), we get a palindrome (218443344812).

The spelling of 214241202400 in words is "two hundred fourteen billion, two hundred forty-one million, two hundred two thousand, four hundred".