240564132432 has 240 divisors, whose sum is σ = 764137133760. Its totient is φ = 70037250048.

The previous prime is 240564132427. The next prime is 240564132463. The reversal of 240564132432 is 234231465042.

240564132432 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 641 + 3 + 2 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×240564132432² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 32256448 + ... + 32263904.

It is an arithmetic number, because the mean of its divisors is an integer number (3183904724).

Almost surely, 2^240564132432 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 240564132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382068566880).

240564132432 is an abundant number, since it is smaller than the sum of its proper divisors (523573001328).

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

240564132432 is a wasteful number, since it uses less digits than its factorization.

240564132432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 240564132432 its reverse (234231465042), we get a palindrome (474795597474).

The spelling of 240564132432 in words is "two hundred forty billion, five hundred sixty-four million, one hundred thirty-two thousand, four hundred thirty-two".