5140454400 has 660 divisors, whose sum is σ = 19840719448. Its totient is φ = 1313832960.

The previous prime is 5140454387. The next prime is 5140454419. The reversal of 5140454400 is 44540415.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76723167 + ... + 76723233.

Almost surely, 2^5140454400 is an apocalyptic number.

5140454400 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 5140454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920359724).

5140454400 is an abundant number, since it is smaller than the sum of its proper divisors (14700265048).

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

5140454400 is a wasteful number, since it uses less digits than its factorization.

5140454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5140454400 is about 71696.9622787465. The cubic root of 5140454400 is about 1725.8398934514.

Adding to 5140454400 its reverse (44540415), we get a palindrome (5184994815).

The spelling of 5140454400 in words is "five billion, one hundred forty million, four hundred fifty-four thousand, four hundred".