5141532400 has 60 divisors (see below), whose sum is σ = 12367370392. Its totient is φ = 2054142720.

The previous prime is 5141532391. The next prime is 5141532427. The reversal of 5141532400 is 42351415.

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345922 + ... + 360478.

Almost surely, 2^5141532400 is an apocalyptic number.

5141532400 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 5141532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183685196).

5141532400 is an abundant number, since it is smaller than the sum of its proper divisors (7225837992).

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

5141532400 is a wasteful number, since it uses less digits than its factorization.

5141532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15458 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 5141532400 is about 71704.4796369097. The cubic root of 5141532400 is about 1725.9605264554.

Adding to 5141532400 its reverse (42351415), we get a palindrome (5183883815).

The spelling of 5141532400 in words is "five billion, one hundred forty-one million, five hundred thirty-two thousand, four hundred".