240647791104 has 480 divisors, whose sum is σ = 866524538880. Its totient is φ = 65133268992.

The previous prime is 240647791019. The next prime is 240647791117. The reversal of 240647791104 is 401197746042.

It is a super-2 number, since 2×240647791104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 240647791104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16540057 + ... + 16554599.

It is an arithmetic number, because the mean of its divisors is an integer number (1805259456).

Almost surely, 2^240647791104 is an apocalyptic number.

240647791104 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 240647791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433262269440).

240647791104 is an abundant number, since it is smaller than the sum of its proper divisors (625876747776).

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

240647791104 is an equidigital number, since it uses as much as digits as its factorization.

240647791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14602 (or 14574 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 240647791104 in words is "two hundred forty billion, six hundred forty-seven million, seven hundred ninety-one thousand, one hundred four".