42971036861760 has 448 divisors, whose sum is σ = 164148893952000. Its totient is φ = 9303933984768.

The previous prime is 42971036861743. The next prime is 42971036861839. The reversal of 42971036861760 is 6716863017924.

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 (60).

It is a junction number, because it is equal to n+sod(n) for n = 42971036861694 and 42971036861703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1672467474 + ... + 1672493166.

Almost surely, 2^{42971036861760} is an apocalyptic number.

42971036861760 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 42971036861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82074446976000).

42971036861760 is an abundant number, since it is smaller than the sum of its proper divisors (121177857090240).

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

42971036861760 is a wasteful number, since it uses less digits than its factorization.

42971036861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38838 (or 38828 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 42971036861760 in words is "forty-two trillion, nine hundred seventy-one billion, thirty-six million, eight hundred sixty-one thousand, seven hundred sixty".