4081920000 has 240 divisors, whose sum is σ = 13611517920. Its totient is φ = 1087488000.

The previous prime is 4081919999. The next prime is 4081920047. The reversal of 4081920000 is 291804.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839469 + ... + 3840531.

It is an arithmetic number, because the mean of its divisors is an integer number (56714658).

Almost surely, 2^4081920000 is an apocalyptic number.

4081920000 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 4081920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805758960).

4081920000 is an abundant number, since it is smaller than the sum of its proper divisors (9529597920).

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

4081920000 is an equidigital number, since it uses as much as digits as its factorization.

4081920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4081920000 is about 63889.9053059245. The cubic root of 4081920000 is about 1598.1645619513.

It can be divided in two parts, 40 and 81920000, that multiplied together give a 5-th power (3276800000 = 80⁵).

The spelling of 4081920000 in words is "four billion, eighty-one million, nine hundred twenty thousand".