5045142400 has 96 divisors (see below), whose sum is σ = 12800218680. Its totient is φ = 1963468800.

The previous prime is 5045142287. The next prime is 5045142407. The reversal of 5045142400 is 42415405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5045142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97095 + ... + 139705.

Almost surely, 2^5045142400 is an apocalyptic number.

5045142400 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 5045142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400109340).

5045142400 is an abundant number, since it is smaller than the sum of its proper divisors (7755076280).

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

5045142400 is a wasteful number, since it uses less digits than its factorization.

5045142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42672 (or 42655 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 5045142400 is about 71029.1658405193. The cubic root of 5045142400 is about 1715.1066977678.

Adding to 5045142400 its reverse (42415405), we get a palindrome (5087557805).

The spelling of 5045142400 in words is "five billion, forty-five million, one hundred forty-two thousand, four hundred".