5142540400 has 60 divisors (see below), whose sum is σ = 12753530944. Its totient is φ = 1990656000.

The previous prime is 5142540383. The next prime is 5142540413. The reversal of 5142540400 is 40452415.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 194961 + ... + 219760.

Almost surely, 2^5142540400 is an apocalyptic number.

5142540400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5142540400 is an abundant number, since it is smaller than the sum of its proper divisors (7610990544).

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

5142540400 is a wasteful number, since it uses less digits than its factorization.

5142540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414770 (or 414759 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5142540400 is about 71711.5081419991. The cubic root of 5142540400 is about 1726.0733108935.

Adding to 5142540400 its reverse (40452415), we get a palindrome (5182992815).

The spelling of 5142540400 in words is "five billion, one hundred forty-two million, five hundred forty thousand, four hundred".