42771410330880 has 3456 divisors, whose sum is σ = 189503971614720. Its totient is φ = 8102129172480.

The previous prime is 42771410330879. The next prime is 42771410330977. The reversal of 42771410330880 is 8803301417724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 134925584482 + ... + 134925584798.

It is an arithmetic number, because the mean of its divisors is an integer number (54833325120).

Almost surely, 2^{42771410330880} is an apocalyptic number.

42771410330880 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 42771410330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94751985807360).

42771410330880 is an abundant number, since it is smaller than the sum of its proper divisors (146732561283840).

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

42771410330880 is a wasteful number, since it uses less digits than its factorization.

42771410330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 42771410330880 in words is "forty-two trillion, seven hundred seventy-one billion, four hundred ten million, three hundred thirty thousand, eight hundred eighty".