240221296224 has 576 divisors, whose sum is σ = 857471142528. Its totient is φ = 62108467200.

The previous prime is 240221296219. The next prime is 240221296229. The reversal of 240221296224 is 422692122042.

240221296224 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 2 + 1 + 29 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (240221296219) and next prime (240221296229).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240221296229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461077084 + ... + 461077604.

It is an arithmetic number, because the mean of its divisors is an integer number (1488665178).

Almost surely, 2^240221296224 is an apocalyptic number.

240221296224 is a gapful number since it is divisible by the number (24) 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 240221296224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428735571264).

240221296224 is an abundant number, since it is smaller than the sum of its proper divisors (617249846304).

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

240221296224 is a wasteful number, since it uses less digits than its factorization.

240221296224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 240221296224 in words is "two hundred forty billion, two hundred twenty-one million, two hundred ninety-six thousand, two hundred twenty-four".