42121346320350 has 144 divisors (see below), whose sum is σ = 123512348703744. Its totient is φ = 10206395784000.

The previous prime is 42121346320349. The next prime is 42121346320381. The reversal of 42121346320350 is 5302364312124.

42121346320350 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 13 + 4 + 632 + 0 + 3 + 5 + 0 = 666.

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, 8433969 + ... + 12464931.

It is an arithmetic number, because the mean of its divisors is an integer number (857724643776).

Almost surely, 2^{42121346320350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121346320350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61756174351872).

42121346320350 is an abundant number, since it is smaller than the sum of its proper divisors (81391002383394).

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

42121346320350 is a wasteful number, since it uses less digits than its factorization.

42121346320350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033103 (or 4033095 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42121346320350 in words is "forty-two trillion, one hundred twenty-one billion, three hundred forty-six million, three hundred twenty thousand, three hundred fifty".