221402497242960 has 640 divisors, whose sum is σ = 862060081766400. Its totient is φ = 51761487697920.

The previous prime is 221402497242887. The next prime is 221402497242967. The reversal of 221402497242960 is 69242794204122.

221402497242960 is a `hidden beast` number, since 2 + 2 + 1 + 40 + 2 + 497 + 24 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 221402497242897 and 221402497242906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221402497242967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79341174 + ... + 82084266.

It is an arithmetic number, because the mean of its divisors is an integer number (1346968877760).

Almost surely, 2^{221402497242960} is an apocalyptic number.

221402497242960 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 221402497242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431030040883200).

221402497242960 is an abundant number, since it is smaller than the sum of its proper divisors (640657584523440).

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

221402497242960 is a wasteful number, since it uses less digits than its factorization.

221402497242960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743248 (or 2743236 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 221402497242960 in words is "two hundred twenty-one trillion, four hundred two billion, four hundred ninety-seven million, two hundred forty-two thousand, nine hundred sixty".