24380085440 has 56 divisors (see below), whose sum is σ = 58071514032. Its totient is φ = 9749273600.

The previous prime is 24380085421. The next prime is 24380085451. The reversal of 24380085440 is 4458008342.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 24380085394 and 24380085403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1415762 + ... + 1432878.

It is an arithmetic number, because the mean of its divisors is an integer number (1036991322).

Almost surely, 2^24380085440 is an apocalyptic number.

24380085440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24380085440 is an abundant number, since it is smaller than the sum of its proper divisors (33691428592).

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

24380085440 is a wasteful number, since it uses less digits than its factorization.

24380085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21575 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The spelling of 24380085440 in words is "twenty-four billion, three hundred eighty million, eighty-five thousand, four hundred forty".