42131999456 has 48 divisors (see below), whose sum is σ = 85555373904. Its totient is φ = 20408546304.

The previous prime is 42131999411. The next prime is 42131999473. The reversal of 42131999456 is 65499913124.

It is a junction number, because it is equal to n+sod(n) for n = 42131999398 and 42131999407.

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 7 ways as a sum of consecutive naturals, for example, 199511 + ... + 352233.

It is an arithmetic number, because the mean of its divisors is an integer number (1782403623).

Almost surely, 2^42131999456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131999456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42777686952).

42131999456 is an abundant number, since it is smaller than the sum of its proper divisors (43423374448).

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

42131999456 is a wasteful number, since it uses less digits than its factorization.

42131999456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153003 (or 152995 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 53.

The spelling of 42131999456 in words is "forty-two billion, one hundred thirty-one million, nine hundred ninety-nine thousand, four hundred fifty-six".