4251130400 has 144 divisors (see below), whose sum is σ = 11436018048. Its totient is φ = 1530240000.

The previous prime is 4251130393. The next prime is 4251130417. The reversal of 4251130400 is 40311524.

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

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, 886409 + ... + 891191.

It is an arithmetic number, because the mean of its divisors is an integer number (79416792).

Almost surely, 2^4251130400 is an apocalyptic number.

4251130400 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 4251130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718009024).

4251130400 is an abundant number, since it is smaller than the sum of its proper divisors (7184887648).

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

4251130400 is a wasteful number, since it uses less digits than its factorization.

4251130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4251130400 is about 65200.6932478482. The cubic root of 4251130400 is about 1619.9494979938.

Adding to 4251130400 its reverse (40311524), we get a palindrome (4291441924).

The spelling of 4251130400 in words is "four billion, two hundred fifty-one million, one hundred thirty thousand, four hundred".