4081961520 has 640 divisors, whose sum is σ = 18232166400. Its totient is φ = 815173632.

The previous prime is 4081961509. The next prime is 4081961581. The reversal of 4081961520 is 251691804.

4081961520 is a `hidden beast` number, since 4 + 0 + 8 + 19 + 615 + 20 = 666.

4081961520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3734094 + ... + 3735186.

It is an arithmetic number, because the mean of its divisors is an integer number (28487760).

Almost surely, 2^4081961520 is an apocalyptic number.

4081961520 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 4081961520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116083200).

4081961520 is an abundant number, since it is smaller than the sum of its proper divisors (14150204880).

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

4081961520 is a wasteful number, since it uses less digits than its factorization.

4081961520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4081961520 is about 63890.2302390592. The cubic root of 4081961520 is about 1598.1699806078.

The spelling of 4081961520 in words is "four billion, eighty-one million, nine hundred sixty-one thousand, five hundred twenty".