5141004400 has 60 divisors (see below), whose sum is σ = 14115736912. Its totient is φ = 1762629120.

The previous prime is 5141004397. The next prime is 5141004419. The reversal of 5141004400 is 44001415.

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, 915237 + ... + 920836.

Almost surely, 2^5141004400 is an apocalyptic number.

5141004400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5141004400 is an abundant number, since it is smaller than the sum of its proper divisors (8974732512).

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

5141004400 is a wasteful number, since it uses less digits than its factorization.

5141004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836098 (or 1836087 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 5141004400 is about 71700.7977640416. The cubic root of 5141004400 is about 1725.9014430095.

Adding to 5141004400 its reverse (44001415), we get a palindrome (5185005815).

The spelling of 5141004400 in words is "five billion, one hundred forty-one million, four thousand, four hundred".