4080885904800 has 576 divisors, whose sum is σ = 15351937413120. Its totient is φ = 1045070208000.

The previous prime is 4080885904763. The next prime is 4080885904807. The reversal of 4080885904800 is 84095880804.

4080885904800 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 8 + 8 + 590 + 48 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4080885904807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87694339 + ... + 87740861.

It is an arithmetic number, because the mean of its divisors is an integer number (26652669120).

Almost surely, 2^{4080885904800} is an apocalyptic number.

4080885904800 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 4080885904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675968706560).

4080885904800 is an abundant number, since it is smaller than the sum of its proper divisors (11271051508320).

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

4080885904800 is a wasteful number, since it uses less digits than its factorization.

4080885904800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46714 (or 46695 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 4080885904800 in words is "four trillion, eighty billion, eight hundred eighty-five million, nine hundred four thousand, eight hundred".