240040572504912 has 640 divisors, whose sum is σ = 729162473472000. Its totient is φ = 75508854220800.

The previous prime is 240040572504847. The next prime is 240040572504919. The reversal of 240040572504912 is 219405275040042.

240040572504912 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 4 + 0 + 57 + 2 + 504 + 91 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240040572504919) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32734289598 + ... + 32734296930.

It is an arithmetic number, because the mean of its divisors is an integer number (1139316364800).

Almost surely, 2^{240040572504912} 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 240040572504912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364581236736000).

240040572504912 is an abundant number, since it is smaller than the sum of its proper divisors (489121900967088).

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

240040572504912 is a wasteful number, since it uses less digits than its factorization.

240040572504912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7824 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 240040572504912 in words is "two hundred forty trillion, forty billion, five hundred seventy-two million, five hundred four thousand, nine hundred twelve".