5141042400 has 288 divisors, whose sum is σ = 18367261920. Its totient is φ = 1241210880.

The previous prime is 5141042393. The next prime is 5141042419. The reversal of 5141042400 is 42401415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652046 + ... + 1655154.

It is an arithmetic number, because the mean of its divisors is an integer number (63775215).

Almost surely, 2^5141042400 is an apocalyptic number.

5141042400 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 5141042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183630960).

5141042400 is an abundant number, since it is smaller than the sum of its proper divisors (13226219520).

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

5141042400 is a wasteful number, since it uses less digits than its factorization.

5141042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5141042400 is about 71701.0627536301. The cubic root of 5141042400 is about 1725.9056953623.

Adding to 5141042400 its reverse (42401415), we get a palindrome (5183443815).

The spelling of 5141042400 in words is "five billion, one hundred forty-one million, forty-two thousand, four hundred".