240057013920 has 384 divisors, whose sum is σ = 817936600320. Its totient is φ = 58982400000.

The previous prime is 240057013919. The next prime is 240057013921. The reversal of 240057013920 is 29310750042.

It is an interprime number because it is at equal distance from previous prime (240057013919) and next prime (240057013921).

It is not an unprimeable number, because it can be changed into a prime (240057013921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149941120 + ... + 149942720.

It is an arithmetic number, because the mean of its divisors is an integer number (2130043230).

Almost surely, 2^240057013920 is an apocalyptic number.

240057013920 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 240057013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408968300160).

240057013920 is an abundant number, since it is smaller than the sum of its proper divisors (577879586400).

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

240057013920 is a wasteful number, since it uses less digits than its factorization.

240057013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 240057013920 its reverse (29310750042), we get a palindrome (269367763962).

The spelling of 240057013920 in words is "two hundred forty billion, fifty-seven million, thirteen thousand, nine hundred twenty".