42131407950 has 144 divisors (see below), whose sum is σ = 114324664896. Its totient is φ = 11123308800.

The previous prime is 42131407907. The next prime is 42131407957. The reversal of 42131407950 is 5970413124.

42131407950 is a `hidden beast` number, since 421 + 3 + 140 + 7 + 95 + 0 = 666.

42131407950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42131407957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21096352 + ... + 21098348.

It is an arithmetic number, because the mean of its divisors is an integer number (793921284).

Almost surely, 2^42131407950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42131407950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57162332448).

42131407950 is an abundant number, since it is smaller than the sum of its proper divisors (72193256946).

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

42131407950 is a wasteful number, since it uses less digits than its factorization.

42131407950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 42131407950 in words is "forty-two billion, one hundred thirty-one million, four hundred seven thousand, nine hundred fifty".