240564401280 has 1024 divisors, whose sum is σ = 1010424729600. Its totient is φ = 53613342720.

The previous prime is 240564401279. The next prime is 240564401293. The reversal of 240564401280 is 82104465042.

240564401280 is a `hidden beast` number, since 2 + 4 + 0 + 5 + 644 + 0 + 1 + 2 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 421303395 + ... + 421303965.

It is an arithmetic number, because the mean of its divisors is an integer number (986742900).

Almost surely, 2^240564401280 is an apocalyptic number.

240564401280 is a gapful number since it is divisible by the number (20) 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 240564401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505212364800).

240564401280 is an abundant number, since it is smaller than the sum of its proper divisors (769860328320).

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

240564401280 is an frugal number, since it uses more digits than its factorization.

240564401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 240564401280 in words is "two hundred forty billion, five hundred sixty-four million, four hundred one thousand, two hundred eighty".