5111144400 has 240 divisors, whose sum is σ = 17309378240. Its totient is φ = 1285632000.

The previous prime is 5111144371. The next prime is 5111144417. The reversal of 5111144400 is 44411115.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5111144400² = 52247594155302720000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8504100 + ... + 8504700.

Almost surely, 2^5111144400 is an apocalyptic number.

5111144400 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 5111144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654689120).

5111144400 is an abundant number, since it is smaller than the sum of its proper divisors (12198233840).

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

5111144400 is a wasteful number, since it uses less digits than its factorization.

5111144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 5111144400 is about 71492.2681134121. The cubic root of 5111144400 is about 1722.5534904602.

Adding to 5111144400 its reverse (44411115), we get a palindrome (5155555515).

The spelling of 5111144400 in words is "five billion, one hundred eleven million, one hundred forty-four thousand, four hundred".