4056242400 has 576 divisors, whose sum is σ = 16973913600. Its totient is φ = 915701760.

The previous prime is 4056242387. The next prime is 4056242419. The reversal of 4056242400 is 42426504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21016704 + ... + 21016896.

It is an arithmetic number, because the mean of its divisors is an integer number (29468600).

Almost surely, 2^4056242400 is an apocalyptic number.

4056242400 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 4056242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486956800).

4056242400 is an abundant number, since it is smaller than the sum of its proper divisors (12917671200).

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

4056242400 is a wasteful number, since it uses less digits than its factorization.

4056242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

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

The square root of 4056242400 is about 63688.6363490380. The cubic root of 4056242400 is about 1594.8063889100.

Adding to 4056242400 its reverse (42426504), we get a palindrome (4098668904).

The spelling of 4056242400 in words is "four billion, fifty-six million, two hundred forty-two thousand, four hundred".