240046395264 has 768 divisors, whose sum is σ = 835326535680. Its totient is φ = 67945070592.

The previous prime is 240046395203. The next prime is 240046395343. The reversal of 240046395264 is 462593640042.

240046395264 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 4 + 639 + 5 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323076877 + ... + 323077619.

It is an arithmetic number, because the mean of its divisors is an integer number (1087664760).

Almost surely, 2^240046395264 is an apocalyptic number.

240046395264 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 240046395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417663267840).

240046395264 is an abundant number, since it is smaller than the sum of its proper divisors (595280140416).

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

240046395264 is a wasteful number, since it uses less digits than its factorization.

240046395264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 240046395264 in words is "two hundred forty billion, forty-six million, three hundred ninety-five thousand, two hundred sixty-four".