5132414400 has 168 divisors, whose sum is σ = 17090989440. Its totient is φ = 1348131840.

The previous prime is 5132414369. The next prime is 5132414437. The reversal of 5132414400 is 44142315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313621 + ... + 329579.

It is an arithmetic number, because the mean of its divisors is an integer number (101732080).

Almost surely, 2^5132414400 is an apocalyptic number.

5132414400 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 5132414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545494720).

5132414400 is an abundant number, since it is smaller than the sum of its proper divisors (11958575040).

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

5132414400 is a wasteful number, since it uses less digits than its factorization.

5132414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16051 (or 16036 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5132414400 is about 71640.8710164805. The cubic root of 5132414400 is about 1724.9396492223.

Adding to 5132414400 its reverse (44142315), we get a palindrome (5176556715).

The spelling of 5132414400 in words is "five billion, one hundred thirty-two million, four hundred fourteen thousand, four hundred".