8013403242 has 96 divisors (see below), whose sum is σ = 19303939200. Its totient is φ = 2386454400.

The previous prime is 8013403217. The next prime is 8013403253. The reversal of 8013403242 is 2423043108.

8013403242 is a `hidden beast` number, since 8 + 0 + 13 + 403 + 242 = 666.

It is a super-2 number, since 2×8013403242² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1720617 + ... + 1725267.

It is an arithmetic number, because the mean of its divisors is an integer number (201082700).

Almost surely, 2^8013403242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8013403242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651969600).

8013403242 is an abundant number, since it is smaller than the sum of its proper divisors (11290535958).

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

8013403242 is a wasteful number, since it uses less digits than its factorization.

8013403242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 8013403242 is about 89517.6141438097. The cubic root of 8013403242 is about 2001.1163136393.

It can be divided in two parts, 801 and 3403242, that added together give a palindrome (3404043).

The spelling of 8013403242 in words is "eight billion, thirteen million, four hundred three thousand, two hundred forty-two".