442683708195456 has 1920 divisors, whose sum is σ = 1675796996966400. Its totient is φ = 114968828362752.

The previous prime is 442683708195427. The next prime is 442683708195481. The reversal of 442683708195456 is 654591807386244.

442683708195456 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 8 + 3 + 7 + 0 + 81 + 95 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 116587753750 + ... + 116587757546.

It is an arithmetic number, because the mean of its divisors is an integer number (872810935920).

It is a 2-persistent number, because it is pandigital, and so is 2⋅442683708195456 = 885367416390912, but 3⋅442683708195456 = 1328051124586368 is not.

Almost surely, 2^{442683708195456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442683708195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837898498483200).

442683708195456 is an abundant number, since it is smaller than the sum of its proper divisors (1233113288770944).

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

442683708195456 is a wasteful number, since it uses less digits than its factorization.

442683708195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 442683708195456 in words is "four hundred forty-two trillion, six hundred eighty-three billion, seven hundred eight million, one hundred ninety-five thousand, four hundred fifty-six".