24405015040 has 160 divisors (see below), whose sum is σ = 70808753664. Its totient is φ = 7875133440.

The previous prime is 24405015013. The next prime is 24405015043. The reversal of 24405015040 is 4051050442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 24405014996 and 24405015014.

It is not an unprimeable number, because it can be changed into a prime (24405015043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 264585 + ... + 344695.

Almost surely, 2^24405015040 is an apocalyptic number.

24405015040 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 24405015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35404376832).

24405015040 is an abundant number, since it is smaller than the sum of its proper divisors (46403738624).

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

24405015040 is an equidigital number, since it uses as much as digits as its factorization.

24405015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80158 (or 80142 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 24405015040 its reverse (4051050442), we get a palindrome (28456065482).

The spelling of 24405015040 in words is "twenty-four billion, four hundred five million, fifteen thousand, forty".