4520014400 has 168 divisors, whose sum is σ = 12847722336. Its totient is φ = 1546854400.

The previous prime is 4520014397. The next prime is 4520014409. The reversal of 4520014400 is 44100254.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4520014409) 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, 291647 + ... + 306753.

Almost surely, 2^4520014400 is an apocalyptic number.

4520014400 is a gapful number since it is divisible by the number (40) 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 4520014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423861168).

4520014400 is an abundant number, since it is smaller than the sum of its proper divisors (8327707936).

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

4520014400 is a wasteful number, since it uses less digits than its factorization.

4520014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15157 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 4520014400 is about 67231.0523493423. The cubic root of 4520014400 is about 1653.4076377173.

Adding to 4520014400 its reverse (44100254), we get a palindrome (4564114654).

The spelling of 4520014400 in words is "four billion, five hundred twenty million, fourteen thousand, four hundred".