42120186948 has 540 divisors, whose sum is σ = 140267102976. Its totient is φ = 10957161600.

The previous prime is 42120186943. The next prime is 42120187001. The reversal of 42120186948 is 84968102124.

42120186948 is a `hidden beast` number, since 421 + 2 + 0 + 186 + 9 + 48 = 666.

It is a super-2 number, since 2×42120186948² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42120186943) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 690494838 + ... + 690494898.

Almost surely, 2^42120186948 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 42120186948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70133551488).

42120186948 is an abundant number, since it is smaller than the sum of its proper divisors (98146916028).

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

42120186948 is a wasteful number, since it uses less digits than its factorization.

42120186948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 42120186948 in words is "forty-two billion, one hundred twenty million, one hundred eighty-six thousand, nine hundred forty-eight".