5408194268400 has 1440 divisors, whose sum is σ = 23339524389120. Its totient is φ = 1064341555200.

The previous prime is 5408194268377. The next prime is 5408194268429. The reversal of 5408194268400 is 48624918045.

It is a super-2 number, since 2×5408194268400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1486991382 + ... + 1486995018.

It is an arithmetic number, because the mean of its divisors is an integer number (16208003048).

Almost surely, 2^{5408194268400} is an apocalyptic number.

5408194268400 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 5408194268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11669762194560).

5408194268400 is an abundant number, since it is smaller than the sum of its proper divisors (17931330120720).

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

5408194268400 is a wasteful number, since it uses less digits than its factorization.

5408194268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 5408194268400 in words is "five trillion, four hundred eight billion, one hundred ninety-four million, two hundred sixty-eight thousand, four hundred".