24282379440 has 240 divisors, whose sum is σ = 89126009856. Its totient is φ = 5875776000.

The previous prime is 24282379399. The next prime is 24282379477. The reversal of 24282379440 is 4497328242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4804915 + ... + 4809965.

Almost surely, 2^24282379440 is an apocalyptic number.

24282379440 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 24282379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44563004928).

24282379440 is an abundant number, since it is smaller than the sum of its proper divisors (64843630416).

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

24282379440 is a wasteful number, since it uses less digits than its factorization.

24282379440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5688 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 24282379440 in words is "twenty-four billion, two hundred eighty-two million, three hundred seventy-nine thousand, four hundred forty".