24002400040 has 16 divisors (see below), whose sum is σ = 54005400180. Its totient is φ = 9600960000.

The previous prime is 24002400029. The next prime is 24002400049. The reversal of 24002400040 is 4000420042.

It can be written as a sum of positive squares in 2 ways, for example, as 23981000164 + 21399876 = 154858^2 + 4626^2 .

It is a super-2 number, since 2×24002400040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24002399987 and 24002400023.

It is not an unprimeable number, because it can be changed into a prime (24002400049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300029961 + ... + 300030040.

Almost surely, 2^24002400040 is an apocalyptic number.

24002400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24002400040 is an abundant number, since it is smaller than the sum of its proper divisors (30003000140).

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

24002400040 is a wasteful number, since it uses less digits than its factorization.

24002400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600060012 (or 600060008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 24002400040 its reverse (4000420042), we get a palindrome (28002820082).

The spelling of 24002400040 in words is "twenty-four billion, two million, four hundred thousand, forty".