42145080817350 has 144 divisors (see below), whose sum is σ = 121591021779216. Its totient is φ = 9632625408000.

The previous prime is 42145080817331. The next prime is 42145080817373. The reversal of 42145080817350 is 5371808054124.

It is a super-2 number, since 2×42145080817350² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42145080817350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 140389410 + ... + 140689290.

It is an arithmetic number, because the mean of its divisors is an integer number (844382095689).

Almost surely, 2^{42145080817350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42145080817350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60795510889608).

42145080817350 is an abundant number, since it is smaller than the sum of its proper divisors (79445940961866).

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

42145080817350 is a wasteful number, since it uses less digits than its factorization.

42145080817350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319031 (or 319019 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 42145080817350 in words is "forty-two trillion, one hundred forty-five billion, eighty million, eight hundred seventeen thousand, three hundred fifty".