42971688000 has 224 divisors, whose sum is σ = 157659141120. Its totient is φ = 11459059200.

The previous prime is 42971687989. The next prime is 42971688007. The reversal of 42971688000 is 88617924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42971688007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116529 + ... + 315471.

Almost surely, 2^42971688000 is an apocalyptic number.

42971688000 is a gapful number since it is divisible by the number (40) 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 42971688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829570560).

42971688000 is an abundant number, since it is smaller than the sum of its proper divisors (114687453120).

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

42971688000 is a wasteful number, since it uses less digits than its factorization.

42971688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198979 (or 198953 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 42971688000 in words is "forty-two billion, nine hundred seventy-one million, six hundred eighty-eight thousand".