8191949040 has 320 divisors, whose sum is σ = 31210145280. Its totient is φ = 1958307840.

The previous prime is 8191948981. The next prime is 8191949057. The reversal of 8191949040 is 409491918.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732119 + ... + 1736841.

It is an arithmetic number, because the mean of its divisors is an integer number (97531704).

Almost surely, 2^8191949040 is an apocalyptic number.

8191949040 is a gapful number since it is divisible by the number (80) 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 8191949040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605072640).

8191949040 is an abundant number, since it is smaller than the sum of its proper divisors (23018196240).

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

8191949040 is a wasteful number, since it uses less digits than its factorization.

8191949040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 8191949040 is about 90509.3864745530. The cubic root of 8191949040 is about 2015.8694997726.

The spelling of 8191949040 in words is "eight billion, one hundred ninety-one million, nine hundred forty-nine thousand, forty".