42871211970720 has 288 divisors, whose sum is σ = 157246620753600. Its totient is φ = 9789512269824.

The previous prime is 42871211970673. The next prime is 42871211970721. The reversal of 42871211970720 is 2707911217824.

It is a super-2 number, since 2×42871211970720² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42871211970721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23072496 + ... + 24861264.

It is an arithmetic number, because the mean of its divisors is an integer number (545995210950).

Almost surely, 2^{42871211970720} is an apocalyptic number.

42871211970720 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 42871211970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78623310376800).

42871211970720 is an abundant number, since it is smaller than the sum of its proper divisors (114375408782880).

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

42871211970720 is a wasteful number, since it uses less digits than its factorization.

42871211970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789820 (or 1789805 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 51.

The spelling of 42871211970720 in words is "forty-two trillion, eight hundred seventy-one billion, two hundred eleven million, nine hundred seventy thousand, seven hundred twenty".