5101244400 has 480 divisors, whose sum is σ = 19993720320. Its totient is φ = 1085276160.

The previous prime is 5101244381. The next prime is 5101244443. The reversal of 5101244400 is 44421015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19849072 + ... + 19849328.

It is an arithmetic number, because the mean of its divisors is an integer number (41653584).

Almost surely, 2^5101244400 is an apocalyptic number.

5101244400 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 5101244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9996860160).

5101244400 is an abundant number, since it is smaller than the sum of its proper divisors (14892475920).

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

5101244400 is a wasteful number, since it uses less digits than its factorization.

5101244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

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

The square root of 5101244400 is about 71422.9962967110. The cubic root of 5101244400 is about 1721.4406084584.

Adding to 5101244400 its reverse (44421015), we get a palindrome (5145665415).

The spelling of 5101244400 in words is "five billion, one hundred one million, two hundred forty-four thousand, four hundred".