24454135040 has 72 divisors (see below), whose sum is σ = 58819088328. Its totient is φ = 9740943360.

The previous prime is 24454135037. The next prime is 24454135081. The reversal of 24454135040 is 4053145442.

It can be written as a sum of positive squares in 4 ways, for example, as 1819534336 + 22634600704 = 42656^2 + 150448^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 24454134988 and 24454135006.

It is a congruent number.

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, 268844 + ... + 348116.

Almost surely, 2^24454135040 is an apocalyptic number.

24454135040 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 24454135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29409544164).

24454135040 is an abundant number, since it is smaller than the sum of its proper divisors (34364953288).

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

24454135040 is an equidigital number, since it uses as much as digits as its factorization.

24454135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79535 (or 79521 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 24454135040 in words is "twenty-four billion, four hundred fifty-four million, one hundred thirty-five thousand, forty".