240442354241250 has 480 divisors, whose sum is σ = 706451113779840. Its totient is φ = 54375132672000.

The previous prime is 240442354241143. The next prime is 240442354241291. The reversal of 240442354241250 is 52142453244042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23260356082 + ... + 23260366418.

It is an arithmetic number, because the mean of its divisors is an integer number (1471773153708).

Almost surely, 2^{240442354241250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240442354241250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353225556889920).

240442354241250 is an abundant number, since it is smaller than the sum of its proper divisors (466008759538590).

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

240442354241250 is a wasteful number, since it uses less digits than its factorization.

240442354241250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

The spelling of 240442354241250 in words is "two hundred forty trillion, four hundred forty-two billion, three hundred fifty-four million, two hundred forty-one thousand, two hundred fifty".