221331440400 has 480 divisors, whose sum is σ = 837474874368. Its totient is φ = 48916224000.

The previous prime is 221331440399. The next prime is 221331440411. The reversal of 221331440400 is 4044133122.

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 95 ways as a sum of consecutive naturals, for example, 36478167 + ... + 36484233.

Almost surely, 2^221331440400 is an apocalyptic number.

221331440400 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 221331440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418737437184).

221331440400 is an abundant number, since it is smaller than the sum of its proper divisors (616143433968).

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

221331440400 is a wasteful number, since it uses less digits than its factorization.

221331440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6239 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 221331440400 its reverse (4044133122), we get a palindrome (225375573522).

The spelling of 221331440400 in words is "two hundred twenty-one billion, three hundred thirty-one million, four hundred forty thousand, four hundred".