4050320400 has 270 divisors, whose sum is σ = 16351263162. Its totient is φ = 925747200.

The previous prime is 4050320387. The next prime is 4050320413. The reversal of 4050320400 is 40230504.

It is a happy number.

4050320400 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 (4050320387) and next prime (4050320413).

It can be written as a sum of positive squares in 3 ways, for example, as 473323536 + 3576996864 = 21756^2 + 59808^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 164920 + ... + 187880.

Almost surely, 2^4050320400 is an apocalyptic number.

4050320400 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 4050320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175631581).

4050320400 is an abundant number, since it is smaller than the sum of its proper divisors (12300942762).

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

4050320400 is a wasteful number, since it uses less digits than its factorization.

4050320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22999 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4050320400 is about 63642.1275571457. The cubic root of 4050320400 is about 1594.0298867156.

Adding to 4050320400 its reverse (40230504), we get a palindrome (4090550904).

The spelling of 4050320400 in words is "four billion, fifty million, three hundred twenty thousand, four hundred".