240272173010220 has 288 divisors, whose sum is σ = 764228685265920. Its totient is φ = 56300180751360.

The previous prime is 240272173010213. The next prime is 240272173010273. The reversal of 240272173010220 is 22010371272042.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15124137 + ... + 26632383.

It is an arithmetic number, because the mean of its divisors is an integer number (2653571823840).

Almost surely, 2^{240272173010220} is an apocalyptic number.

240272173010220 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 240272173010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382114342632960).

240272173010220 is an abundant number, since it is smaller than the sum of its proper divisors (523956512255700).

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

240272173010220 is a wasteful number, since it uses less digits than its factorization.

240272173010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508385 (or 11508370 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 240272173010220 in words is "two hundred forty trillion, two hundred seventy-two billion, one hundred seventy-three million, ten thousand, two hundred twenty".