5111434400 has 144 divisors (see below), whose sum is σ = 12708561600. Its totient is φ = 2007244800.

The previous prime is 5111434369. The next prime is 5111434403. The reversal of 5111434400 is 44341115.

It is a super-2 number, since 2×5111434400² = 52253523251006720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5111434403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15442235 + ... + 15442565.

It is an arithmetic number, because the mean of its divisors is an integer number (88253900).

Almost surely, 2^5111434400 is an apocalyptic number.

5111434400 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 5111434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6354280800).

5111434400 is an abundant number, since it is smaller than the sum of its proper divisors (7597127200).

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

5111434400 is a wasteful number, since it uses less digits than its factorization.

5111434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 5111434400 is about 71494.2962759967. The cubic root of 5111434400 is about 1722.5860683610.

Adding to 5111434400 its reverse (44341115), we get a palindrome (5155775515).

The spelling of 5111434400 in words is "five billion, one hundred eleven million, four hundred thirty-four thousand, four hundred".