221215005042400 has 36 divisors (see below), whose sum is σ = 540041131061712. Its totient is φ = 88486002016640.

The previous prime is 221215005042391. The next prime is 221215005042413. The reversal of 221215005042400 is 4240500512122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138259377352 + ... + 138259378951.

It is an arithmetic number, because the mean of its divisors is an integer number (15001142529492).

Almost surely, 2^{221215005042400} is an apocalyptic number.

221215005042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221215005042400 is an abundant number, since it is smaller than the sum of its proper divisors (318826126019312).

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

221215005042400 is a wasteful number, since it uses less digits than its factorization.

221215005042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276518756323 (or 276518756310 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 221215005042400 its reverse (4240500512122), we get a palindrome (225455505554522).

The spelling of 221215005042400 in words is "two hundred twenty-one trillion, two hundred fifteen billion, five million, forty-two thousand, four hundred".