240796581846912 has 1152 divisors, whose sum is σ = 902548454895360. Its totient is φ = 62558287773696.

The previous prime is 240796581846839. The next prime is 240796581846917. The reversal of 240796581846912 is 219648185697042.

It is a happy number.

240796581846912 is a `hidden beast` number, since 2 + 4 + 0 + 7 + 96 + 58 + 18 + 469 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240796581846917) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2465285308 + ... + 2465382980.

It is an arithmetic number, because the mean of its divisors is an integer number (783462200430).

Almost surely, 2^{240796581846912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240796581846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451274227447680).

240796581846912 is an abundant number, since it is smaller than the sum of its proper divisors (661751873048448).

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

240796581846912 is an equidigital number, since it uses as much as digits as its factorization.

240796581846912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97802 (or 97765 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 240796581846912 in words is "two hundred forty trillion, seven hundred ninety-six billion, five hundred eighty-one million, eight hundred forty-six thousand, nine hundred twelve".