221282342400 has 480 divisors, whose sum is σ = 864257898240. Its totient is φ = 48833003520.

The previous prime is 221282342383. The next prime is 221282342401. The reversal of 221282342400 is 4243282122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221282342401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7781007 + ... + 7809393.

It is an arithmetic number, because the mean of its divisors is an integer number (1800537288).

Almost surely, 2^221282342400 is an apocalyptic number.

221282342400 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 221282342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432128949120).

221282342400 is an abundant number, since it is smaller than the sum of its proper divisors (642975555840).

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

221282342400 is a wasteful number, since it uses less digits than its factorization.

221282342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28454 (or 28433 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 221282342400 in words is "two hundred twenty-one billion, two hundred eighty-two million, three hundred forty-two thousand, four hundred".