240435384960 has 256 divisors, whose sum is σ = 794103782400. Its totient is φ = 61813063680.

The previous prime is 240435384919. The next prime is 240435384971. The reversal of 240435384960 is 69483534042.

It is a super-3 number, since 3×240435384960³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16003372 + ... + 16018388.

It is an arithmetic number, because the mean of its divisors is an integer number (3101967900).

Almost surely, 2^240435384960 is an apocalyptic number.

240435384960 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 240435384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397051891200).

240435384960 is an abundant number, since it is smaller than the sum of its proper divisors (553668397440).

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

240435384960 is a wasteful number, since it uses less digits than its factorization.

240435384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15339 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 240435384960 in words is "two hundred forty billion, four hundred thirty-five million, three hundred eighty-four thousand, nine hundred sixty".