442039974901632 has 384 divisors, whose sum is σ = 1359207472022400. Its totient is φ = 137481944371200.

The previous prime is 442039974901621. The next prime is 442039974901663. The reversal of 442039974901632 is 236109479930244.

442039974901632 is a `hidden beast` number, since 4 + 4 + 20 + 3 + 9 + 97 + 490 + 1 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×442039974901632² (a number of 30 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 442039974901632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8580442338 + ... + 8580493854.

It is an arithmetic number, because the mean of its divisors is an integer number (3539602791725).

Almost surely, 2^{442039974901632} 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 442039974901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679603736011200).

442039974901632 is an abundant number, since it is smaller than the sum of its proper divisors (917167497120768).

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

442039974901632 is a wasteful number, since it uses less digits than its factorization.

442039974901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57474 (or 57459 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 442039974901632 in words is "four hundred forty-two trillion, thirty-nine billion, nine hundred seventy-four million, nine hundred one thousand, six hundred thirty-two".