442264983645420 has 384 divisors, whose sum is σ = 1607206880321280. Its totient is φ = 99962330480640.

The previous prime is 442264983645413. The next prime is 442264983645493. The reversal of 442264983645420 is 24546389462244.

442264983645420 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 6 + 4 + 9 + 83 + 6 + 4 + 542 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40301257 + ... + 50087136.

It is an arithmetic number, because the mean of its divisors is an integer number (4185434584170).

Almost surely, 2^{442264983645420} is an apocalyptic number.

It is an amenable number.

442264983645420 is an abundant number, since it is smaller than the sum of its proper divisors (1164941896675860).

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

442264983645420 is a wasteful number, since it uses less digits than its factorization.

442264983645420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90388482 (or 90388474 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 63.

The spelling of 442264983645420 in words is "four hundred forty-two trillion, two hundred sixty-four billion, nine hundred eighty-three million, six hundred forty-five thousand, four hundred twenty".