42131967696 has 480 divisors, whose sum is σ = 157573248000. Its totient is φ = 10524473856.

The previous prime is 42131967667. The next prime is 42131967749. The reversal of 42131967696 is 69676913124.

42131967696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9707895 + ... + 9712233.

It is an arithmetic number, because the mean of its divisors is an integer number (328277600).

Almost surely, 2^42131967696 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 42131967696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78786624000).

42131967696 is an abundant number, since it is smaller than the sum of its proper divisors (115441280304).

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

42131967696 is a wasteful number, since it uses less digits than its factorization.

42131967696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408 (or 4383 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 42131967696 in words is "forty-two billion, one hundred thirty-one million, nine hundred sixty-seven thousand, six hundred ninety-six".