240545468800 has 576 divisors, whose sum is σ = 749412972000. Its totient is φ = 75618385920.

The previous prime is 240545468783. The next prime is 240545468809. The reversal of 240545468800 is 8864545042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240545468809) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405641304 + ... + 405641896.

Almost surely, 2^240545468800 is an apocalyptic number.

240545468800 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 240545468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374706486000).

240545468800 is an abundant number, since it is smaller than the sum of its proper divisors (508867503200).

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

240545468800 is a wasteful number, since it uses less digits than its factorization.

240545468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 240545468800 in words is "two hundred forty billion, five hundred forty-five million, four hundred sixty-eight thousand, eight hundred".