221214002400 has 576 divisors, whose sum is σ = 815797785600. Its totient is φ = 57840168960.

The previous prime is 221214002371. The next prime is 221214002423. The reversal of 221214002400 is 4200412122.

221214002400 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 400 + 240 + 0 = 666.

It is a super-3 number, since 3×221214002400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 376854907 + ... + 376855493.

It is an arithmetic number, because the mean of its divisors is an integer number (1416315600).

Almost surely, 2^221214002400 is an apocalyptic number.

221214002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221214002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407898892800).

221214002400 is an abundant number, since it is smaller than the sum of its proper divisors (594583783200).

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

221214002400 is a wasteful number, since it uses less digits than its factorization.

221214002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221214002400 its reverse (4200412122), we get a palindrome (225414414522).

The spelling of 221214002400 in words is "two hundred twenty-one billion, two hundred fourteen million, two thousand, four hundred".