42117948432 has 600 divisors, whose sum is σ = 151785865440. Its totient is φ = 11208637440.

The previous prime is 42117948419. The next prime is 42117948437. The reversal of 42117948432 is 23484971124.

42117948432 is a `hidden beast` number, since 4 + 2 + 1 + 179 + 48 + 432 = 666.

It is a super-2 number, since 2×42117948432² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42117948437) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 80840332 + ... + 80840852.

Almost surely, 2^42117948432 is an apocalyptic number.

42117948432 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 42117948432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75892932720).

42117948432 is an abundant number, since it is smaller than the sum of its proper divisors (109667917008).

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

42117948432 is a wasteful number, since it uses less digits than its factorization.

42117948432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 42117948432 in words is "forty-two billion, one hundred seventeen million, nine hundred forty-eight thousand, four hundred thirty-two".