4201552400 has 60 divisors (see below), whose sum is σ = 10114106004. Its totient is φ = 1677312000.

The previous prime is 4201552391. The next prime is 4201552409. The reversal of 4201552400 is 42551024.

It is a happy number.

4201552400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4201552391) and next prime (4201552409).

It can be written as a sum of positive squares in 6 ways, for example, as 126517504 + 4075034896 = 11248^2 + 63836^2 .

It is not an unprimeable number, because it can be changed into a prime (4201552409) 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, 198320 + ... + 218480.

Almost surely, 2^4201552400 is an apocalyptic number.

4201552400 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 4201552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057053002).

4201552400 is an abundant number, since it is smaller than the sum of its proper divisors (5912553604).

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

4201552400 is a wasteful number, since it uses less digits than its factorization.

4201552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20700 (or 20689 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4201552400 is about 64819.3829035729. The cubic root of 4201552400 is about 1613.6274061912.

The spelling of 4201552400 in words is "four billion, two hundred one million, five hundred fifty-two thousand, four hundred".