214022024400 has 120 divisors (see below), whose sum is σ = 690124759744. Its totient is φ = 56694528000.

The previous prime is 214022024357. The next prime is 214022024423. The reversal of 214022024400 is 4420220412.

214022024400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409369 + ... + 771768.

Almost surely, 2^214022024400 is an apocalyptic number.

214022024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214022024400 is an abundant number, since it is smaller than the sum of its proper divisors (476102735344).

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

214022024400 is a wasteful number, since it uses less digits than its factorization.

214022024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181309 (or 1181298 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 214022024400 its reverse (4420220412), we get a palindrome (218442244812).

The spelling of 214022024400 in words is "two hundred fourteen billion, twenty-two million, twenty-four thousand, four hundred".