5058401400 has 240 divisors, whose sum is σ = 18920794200. Its totient is φ = 1245093120.

The previous prime is 5058401377. The next prime is 5058401401. The reversal of 5058401400 is 41048505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058401401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 198591 + ... + 222609.

Almost surely, 2^5058401400 is an apocalyptic number.

5058401400 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 5058401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460397100).

5058401400 is an abundant number, since it is smaller than the sum of its proper divisors (13862392800).

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

5058401400 is a wasteful number, since it uses less digits than its factorization.

5058401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24060 (or 24042 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5058401400 is about 71122.4394969689. The cubic root of 5058401400 is about 1716.6078583974.

Adding to 5058401400 its reverse (41048505), we get a palindrome (5099449905).

The spelling of 5058401400 in words is "five billion, fifty-eight million, four hundred one thousand, four hundred".