4081507920 has 400 divisors, whose sum is σ = 16421478720. Its totient is φ = 931730688.

The previous prime is 4081507909. The next prime is 4081507931. The reversal of 4081507920 is 297051804.

It is an interprime number because it is at equal distance from previous prime (4081507909) and next prime (4081507931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5185767 + ... + 5186553.

Almost surely, 2^4081507920 is an apocalyptic number.

4081507920 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 4081507920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210739360).

4081507920 is an abundant number, since it is smaller than the sum of its proper divisors (12339970800).

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

4081507920 is an equidigital number, since it uses as much as digits as its factorization.

4081507920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 4081507920 is about 63886.6803019221. The cubic root of 4081507920 is about 1598.1107805759.

The spelling of 4081507920 in words is "four billion, eighty-one million, five hundred seven thousand, nine hundred twenty".