442601302042350 has 864 divisors, whose sum is σ = 1413509672090880. Its totient is φ = 98881706880000.

The previous prime is 442601302042303. The next prime is 442601302042379. The reversal of 442601302042350 is 53240203106244.

442601302042350 is a `hidden beast` number, since 4 + 4 + 2 + 601 + 3 + 0 + 2 + 0 + 42 + 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 431 ways as a sum of consecutive naturals, for example, 14718527815 + ... + 14718557885.

It is an arithmetic number, because the mean of its divisors is an integer number (1636006564920).

Almost surely, 2^{442601302042350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442601302042350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706754836045440).

442601302042350 is an abundant number, since it is smaller than the sum of its proper divisors (970908370048530).

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

442601302042350 is a wasteful number, since it uses less digits than its factorization.

442601302042350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30518 (or 30499 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 442601302042350 its reverse (53240203106244), we get a palindrome (495841505148594).

The spelling of 442601302042350 in words is "four hundred forty-two trillion, six hundred one billion, three hundred two million, forty-two thousand, three hundred fifty".