5022400042400 has 144 divisors (see below), whose sum is σ = 13205911814424. Its totient is φ = 1854167777280.

The previous prime is 5022400042349. The next prime is 5022400042409. The reversal of 5022400042400 is 42400042205.

It can be written as a sum of positive squares in 12 ways, for example, as 168503682064 + 4853896360336 = 410492^2 + 2203156^2 .

It is not an unprimeable number, because it can be changed into a prime (5022400042409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85593872 + ... + 85652528.

Almost surely, 2^{5022400042400} is an apocalyptic number.

5022400042400 is a gapful number since it is divisible by the number (50) 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 5022400042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602955907212).

5022400042400 is an abundant number, since it is smaller than the sum of its proper divisors (8183511772024).

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

5022400042400 is a wasteful number, since it uses less digits than its factorization.

5022400042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66923 (or 66910 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 5022400042400 its reverse (42400042205), we get a palindrome (5064800084605).

The spelling of 5022400042400 in words is "five trillion, twenty-two billion, four hundred million, forty-two thousand, four hundred".