8032151040 has 160 divisors (see below), whose sum is σ = 25728040800. Its totient is φ = 2137718784.

The previous prime is 8032151021. The next prime is 8032151069. The reversal of 8032151040 is 401512308.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8032151040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7656436 + ... + 7657484.

It is an arithmetic number, because the mean of its divisors is an integer number (160800255).

Almost surely, 2^8032151040 is an apocalyptic number.

8032151040 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 8032151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12864020400).

8032151040 is an abundant number, since it is smaller than the sum of its proper divisors (17695889760).

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

8032151040 is a wasteful number, since it uses less digits than its factorization.

8032151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8032151040 is about 89622.2686613098. The cubic root of 8032151040 is about 2002.6756721264.

Adding to 8032151040 its reverse (401512308), we get a palindrome (8433663348).

The spelling of 8032151040 in words is "eight billion, thirty-two million, one hundred fifty-one thousand, forty".