4225736400 has 120 divisors (see below), whose sum is σ = 13722157440. Its totient is φ = 1111403520.

The previous prime is 4225736399. The next prime is 4225736413. The reversal of 4225736400 is 46375224.

It is a tau number, because it is divible by the number of its divisors (120).

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, 63481 + ... + 111719.

It is an arithmetic number, because the mean of its divisors is an integer number (114351312).

Almost surely, 2^4225736400 is an apocalyptic number.

4225736400 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 4225736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861078720).

4225736400 is an abundant number, since it is smaller than the sum of its proper divisors (9496421040).

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

4225736400 is a wasteful number, since it uses less digits than its factorization.

4225736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48333 (or 48322 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 4225736400 is about 65005.6643685764. The cubic root of 4225736400 is about 1616.7174807188.

The spelling of 4225736400 in words is "four billion, two hundred twenty-five million, seven hundred thirty-six thousand, four hundred".