42137669952 has 252 divisors, whose sum is σ = 141798545460. Its totient is φ = 11928010752.

The previous prime is 42137669911. The next prime is 42137669963. The reversal of 42137669952 is 25996673124.

42137669952 is a `hidden beast` number, since 421 + 3 + 76 + 69 + 95 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12368998656 + 29768671296 = 111216^2 + 172536^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 3069568 + ... + 3083264.

Almost surely, 2^42137669952 is an apocalyptic number.

42137669952 is a gapful number since it is divisible by the number (42) 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 42137669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70899272730).

42137669952 is an abundant number, since it is smaller than the sum of its proper divisors (99660875508).

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

42137669952 is a wasteful number, since it uses less digits than its factorization.

42137669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13838 (or 13818 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 42137669952 in words is "forty-two billion, one hundred thirty-seven million, six hundred sixty-nine thousand, nine hundred fifty-two".