4282791520 has 192 divisors, whose sum is σ = 12230023680. Its totient is φ = 1384501248.

The previous prime is 4282791473. The next prime is 4282791553. The reversal of 4282791520 is 251972824.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6660319 + ... + 6660961.

It is an arithmetic number, because the mean of its divisors is an integer number (63698040).

Almost surely, 2^4282791520 is an apocalyptic number.

4282791520 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 4282791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115011840).

4282791520 is an abundant number, since it is smaller than the sum of its proper divisors (7947232160).

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

4282791520 is a wasteful number, since it uses less digits than its factorization.

4282791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 4282791520 is about 65443.0402716744. The cubic root of 4282791520 is about 1623.9611847356.

The spelling of 4282791520 in words is "four billion, two hundred eighty-two million, seven hundred ninety-one thousand, five hundred twenty".