5145120400 has 120 divisors (see below), whose sum is σ = 14156683200. Its totient is φ = 1760340480.

The previous prime is 5145120389. The next prime is 5145120403. The reversal of 5145120400 is 40215415.

It is not an unprimeable number, because it can be changed into a prime (5145120403) 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, 1557951 + ... + 1561249.

It is an arithmetic number, because the mean of its divisors is an integer number (117972360).

Almost surely, 2^5145120400 is an apocalyptic number.

5145120400 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 5145120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078341600).

5145120400 is an abundant number, since it is smaller than the sum of its proper divisors (9011562800).

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

5145120400 is a wasteful number, since it uses less digits than its factorization.

5145120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5145120400 is about 71729.4946308699. The cubic root of 5145120400 is about 1726.3619182271.

Adding to 5145120400 its reverse (40215415), we get a palindrome (5185335815).

The spelling of 5145120400 in words is "five billion, one hundred forty-five million, one hundred twenty thousand, four hundred".