42133617252 has 72 divisors (see below), whose sum is σ = 109406353056. Its totient is φ = 13664415744.

The previous prime is 42133617193. The next prime is 42133617287. The reversal of 42133617252 is 25271633124.

42133617252 is a `hidden beast` number, since 4 + 2 + 1 + 33 + 617 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344883 + ... + 450789.

Almost surely, 2^42133617252 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 42133617252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54703176528).

42133617252 is an abundant number, since it is smaller than the sum of its proper divisors (67272735804).

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

42133617252 is a wasteful number, since it uses less digits than its factorization.

42133617252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106217 (or 106212 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 42133617252 in words is "forty-two billion, one hundred thirty-three million, six hundred seventeen thousand, two hundred fifty-two".