4075468800 has 432 divisors, whose sum is σ = 14681950920. Its totient is φ = 996802560.

The previous prime is 4075468763. The next prime is 4075468807. The reversal of 4075468800 is 88645704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075468807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25958322 + ... + 25958478.

Almost surely, 2^4075468800 is an apocalyptic number.

4075468800 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 4075468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340975460).

4075468800 is an abundant number, since it is smaller than the sum of its proper divisors (10606482120).

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

4075468800 is a wasteful number, since it uses less digits than its factorization.

4075468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 4075468800 is about 63839.3984934069. The cubic root of 4075468800 is about 1597.3221874920.

The spelling of 4075468800 in words is "four billion, seventy-five million, four hundred sixty-eight thousand, eight hundred".