5141050400 has 288 divisors, whose sum is σ = 13920984000. Its totient is φ = 1846333440.

The previous prime is 5141050399. The next prime is 5141050417. The reversal of 5141050400 is 40501415.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 47165546 + ... + 47165654.

It is an arithmetic number, because the mean of its divisors is an integer number (48336750).

Almost surely, 2^5141050400 is an apocalyptic number.

5141050400 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 5141050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6960492000).

5141050400 is an abundant number, since it is smaller than the sum of its proper divisors (8779933600).

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

5141050400 is a wasteful number, since it uses less digits than its factorization.

5141050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5141050400 is about 71701.1185407871. The cubic root of 5141050400 is about 1725.9065905917.

Adding to 5141050400 its reverse (40501415), we get a palindrome (5181551815).

The spelling of 5141050400 in words is "five billion, one hundred forty-one million, fifty thousand, four hundred".