240253023455424 has 168 divisors, whose sum is σ = 787168427049888. Its totient is φ = 68630716661760.

The previous prime is 240253023455371. The next prime is 240253023455437. The reversal of 240253023455424 is 424554320352042.

240253023455424 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 53 + 0 + 23 + 4 + 554 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 240253023455424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15651394 + ... + 26934590.

Almost surely, 2^{240253023455424} is an apocalyptic number.

240253023455424 is a gapful number since it is divisible by the number (24) 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 240253023455424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393584213524944).

240253023455424 is an abundant number, since it is smaller than the sum of its proper divisors (546915403594464).

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

240253023455424 is a wasteful number, since it uses less digits than its factorization.

240253023455424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288503 (or 11288490 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 240253023455424 in words is "two hundred forty trillion, two hundred fifty-three billion, twenty-three million, four hundred fifty-five thousand, four hundred twenty-four".