4055322400 has 72 divisors (see below), whose sum is σ = 10047950640. Its totient is φ = 1597896960.

The previous prime is 4055322391. The next prime is 4055322419. The reversal of 4055322400 is 42235504.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15771 + ... + 91429.

It is an arithmetic number, because the mean of its divisors is an integer number (139554870).

Almost surely, 2^4055322400 is an apocalyptic number.

4055322400 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 4055322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023975320).

4055322400 is an abundant number, since it is smaller than the sum of its proper divisors (5992628240).

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

4055322400 is a wasteful number, since it uses less digits than its factorization.

4055322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75746 (or 75733 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4055322400 is about 63681.4133008997. The cubic root of 4055322400 is about 1594.6858066342.

Adding to 4055322400 its reverse (42235504), we get a palindrome (4097557904).

The spelling of 4055322400 in words is "four billion, fifty-five million, three hundred twenty-two thousand, four hundred".