4000928800 has 144 divisors (see below), whose sum is σ = 11216469600. Its totient is φ = 1378252800.

The previous prime is 4000928783. The next prime is 4000928809. The reversal of 4000928800 is 88290004.

It is not an unprimeable number, because it can be changed into a prime (4000928809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155236 + ... + 179164.

It is an arithmetic number, because the mean of its divisors is an integer number (77892150).

Almost surely, 2^4000928800 is an apocalyptic number.

4000928800 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 4000928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608234800).

4000928800 is an abundant number, since it is smaller than the sum of its proper divisors (7215540800).

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

4000928800 is a wasteful number, since it uses less digits than its factorization.

4000928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23979 (or 23966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4000928800 is about 63252.8955858939. The cubic root of 4000928800 is about 1587.5239073011.

The spelling of 4000928800 in words is "four billion, nine hundred twenty-eight thousand, eight hundred".