5502040320400 has 180 divisors, whose sum is σ = 14369428776492. Its totient is φ = 2023611432960.

The previous prime is 5502040320397. The next prime is 5502040320407. The reversal of 5502040320400 is 40230402055.

It can be written as a sum of positive squares in 18 ways, for example, as 5198783047056 + 303257273344 = 2280084^2 + 550688^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5502040320407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17214852 + ... + 17531548.

Almost surely, 2^{5502040320400} is an apocalyptic number.

5502040320400 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 5502040320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184714388246).

5502040320400 is an abundant number, since it is smaller than the sum of its proper divisors (8867388456092).

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

5502040320400 is a wasteful number, since it uses less digits than its factorization.

5502040320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316998 (or 316974 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 5502040320400 its reverse (40230402055), we get a palindrome (5542270722455).

The spelling of 5502040320400 in words is "five trillion, five hundred two billion, forty million, three hundred twenty thousand, four hundred".