5390458401300 has 576 divisors, whose sum is σ = 18528374108160. Its totient is φ = 1184320327680.

The previous prime is 5390458401299. The next prime is 5390458401323. The reversal of 5390458401300 is 31048540935.

It is a super-2 number, since 2×5390458401300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4181891056 + ... + 4181892344.

It is an arithmetic number, because the mean of its divisors is an integer number (32167316160).

Almost surely, 2^{5390458401300} is an apocalyptic number.

5390458401300 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 5390458401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264187054080).

5390458401300 is an abundant number, since it is smaller than the sum of its proper divisors (13137915706860).

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

5390458401300 is a wasteful number, since it uses less digits than its factorization.

5390458401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 5390458401300 in words is "five trillion, three hundred ninety billion, four hundred fifty-eight million, four hundred one thousand, three hundred".