8190141120 has 448 divisors, whose sum is σ = 33240268800. Its totient is φ = 1859604480.

The previous prime is 8190141103. The next prime is 8190141137. The reversal of 8190141120 is 211410918.

It is an interprime number because it is at equal distance from previous prime (8190141103) and next prime (8190141137).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11551326 + ... + 11552034.

Almost surely, 2^8190141120 is an apocalyptic number.

8190141120 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 8190141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16620134400).

8190141120 is an abundant number, since it is smaller than the sum of its proper divisors (25050127680).

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

8190141120 is a wasteful number, since it uses less digits than its factorization.

8190141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 8190141120 is about 90499.3984510394. The cubic root of 8190141120 is about 2015.7211916019.

The spelling of 8190141120 in words is "eight billion, one hundred ninety million, one hundred forty-one thousand, one hundred twenty".