4081891500 has 144 divisors (see below), whose sum is σ = 12929716800. Its totient is φ = 1084051200.

The previous prime is 4081891493. The next prime is 4081891501. The reversal of 4081891500 is 51981804.

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

It is not an unprimeable number, because it can be changed into a prime (4081891501) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1181776 + ... + 1185224.

It is an arithmetic number, because the mean of its divisors is an integer number (89789700).

Almost surely, 2^4081891500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4081891500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464858400).

4081891500 is an abundant number, since it is smaller than the sum of its proper divisors (8847825300).

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

4081891500 is a wasteful number, since it uses less digits than its factorization.

4081891500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 4081891500 is about 63889.6822656053. The cubic root of 4081891500 is about 1598.1608424764.

The spelling of 4081891500 in words is "four billion, eighty-one million, eight hundred ninety-one thousand, five hundred".