24400020000 has 480 divisors, whose sum is σ = 85258958400. Its totient is φ = 6096384000.

The previous prime is 24400019953. The next prime is 24400020011. The reversal of 24400020000 is 2000442.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64379811 + ... + 64380189.

It is an arithmetic number, because the mean of its divisors is an integer number (177622830).

Almost surely, 2^24400020000 is an apocalyptic number.

24400020000 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 24400020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42629479200).

24400020000 is an abundant number, since it is smaller than the sum of its proper divisors (60858938400).

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

24400020000 is a wasteful number, since it uses less digits than its factorization.

24400020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 24400020000 its reverse (2000442), we get a palindrome (24402020442).

The spelling of 24400020000 in words is "twenty-four billion, four hundred million, twenty thousand".