240132405456 has 120 divisors (see below), whose sum is σ = 673967785920. Its totient is φ = 79814592000.

The previous prime is 240132405439. The next prime is 240132405463. The reversal of 240132405456 is 654504231042.

240132405456 is a `hidden beast` number, since 2 + 40 + 1 + 32 + 40 + 545 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 240132405456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94131381 + ... + 94133931.

It is an arithmetic number, because the mean of its divisors is an integer number (5616398216).

Almost surely, 2^240132405456 is an apocalyptic number.

It is an amenable number.

240132405456 is an abundant number, since it is smaller than the sum of its proper divisors (433835380464).

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

240132405456 is a wasteful number, since it uses less digits than its factorization.

240132405456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 240132405456 its reverse (654504231042), we get a palindrome (894636636498).

The spelling of 240132405456 in words is "two hundred forty billion, one hundred thirty-two million, four hundred five thousand, four hundred fifty-six".