42116249952 has 144 divisors (see below), whose sum is σ = 138610967040. Its totient is φ = 11880850176.

The previous prime is 42116249951. The next prime is 42116249957. The reversal of 42116249952 is 25994261124.

42116249952 is a `hidden beast` number, since 4 + 2 + 11 + 624 + 9 + 9 + 5 + 2 = 666.

42116249952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 42116249898 and 42116249907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42116249951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27043 + ... + 291485.

It is an arithmetic number, because the mean of its divisors is an integer number (962576160).

Almost surely, 2^42116249952 is an apocalyptic number.

42116249952 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 42116249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69305483520).

42116249952 is an abundant number, since it is smaller than the sum of its proper divisors (96494717088).

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

42116249952 is a wasteful number, since it uses less digits than its factorization.

42116249952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264545 (or 264534 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 42116249952 in words is "forty-two billion, one hundred sixteen million, two hundred forty-nine thousand, nine hundred fifty-two".