42971898816 has 448 divisors, whose sum is σ = 158804213760. Its totient is φ = 11069291520.

The previous prime is 42971898811. The next prime is 42971898829. The reversal of 42971898816 is 61889817924.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42971898811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16896841 + ... + 16899383.

Almost surely, 2^42971898816 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 42971898816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79402106880).

42971898816 is an abundant number, since it is smaller than the sum of its proper divisors (115832314944).

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

42971898816 is a wasteful number, since it uses less digits than its factorization.

42971898816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2693 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 42971898816 in words is "forty-two billion, nine hundred seventy-one million, eight hundred ninety-eight thousand, eight hundred sixteen".