240004304120000 has 560 divisors, whose sum is σ = 719586481616640. Its totient is φ = 77560229376000.

The previous prime is 240004304119991. The next prime is 240004304120017. The reversal of 240004304120000 is 21403400042.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×240004304120000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1047925499 + ... + 1048154501.

Almost surely, 2^{240004304120000} is an apocalyptic number.

240004304120000 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 240004304120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359793240808320).

240004304120000 is an abundant number, since it is smaller than the sum of its proper divisors (479582177496640).

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

240004304120000 is a wasteful number, since it uses less digits than its factorization.

240004304120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229258 (or 229233 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 240004304120000 its reverse (21403400042), we get a palindrome (240025707520042).

The spelling of 240004304120000 in words is "two hundred forty trillion, four billion, three hundred four million, one hundred twenty thousand".