4056422400 has 216 divisors, whose sum is σ = 14529109140. Its totient is φ = 1081589760.

The previous prime is 4056422389. The next prime is 4056422407. The reversal of 4056422400 is 42246504.

4056422400 is a `hidden beast` number, since 40 + 564 + 22 + 40 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4056422407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 456399 + ... + 465201.

Almost surely, 2^4056422400 is an apocalyptic number.

4056422400 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 4056422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7264554570).

4056422400 is an abundant number, since it is smaller than the sum of its proper divisors (10472686740).

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

4056422400 is a wasteful number, since it uses less digits than its factorization.

4056422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8841 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4056422400 is about 63690.0494582945. The cubic root of 4056422400 is about 1594.8299789617.

Adding to 4056422400 its reverse (42246504), we get a palindrome (4098668904).

The spelling of 4056422400 in words is "four billion, fifty-six million, four hundred twenty-two thousand, four hundred".