5005440042400 has 108 divisors (see below), whose sum is σ = 14214556003158. Its totient is φ = 1716150858240.

The previous prime is 5005440042371. The next prime is 5005440042409. The reversal of 5005440042400 is 42400445005.

It can be written as a sum of positive squares in 3 ways, for example, as 4612306026384 + 393134016016 = 2147628^2 + 627004^2 .

It is a super-2 number, since 2×5005440042400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5005440042409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63805699 + ... + 63884098.

Almost surely, 2^{5005440042400} is an apocalyptic number.

5005440042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005440042400 is an abundant number, since it is smaller than the sum of its proper divisors (9209115960758).

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

5005440042400 is a wasteful number, since it uses less digits than its factorization.

5005440042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127689831 (or 127689811 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 5005440042400 its reverse (42400445005), we get a palindrome (5047840487405).

The spelling of 5005440042400 in words is "five trillion, five billion, four hundred forty million, forty-two thousand, four hundred".