442889828016640 has 320 divisors, whose sum is σ = 1074977741021184. Its totient is φ = 174983419772928.

The previous prime is 442889828016527. The next prime is 442889828016667. The reversal of 442889828016640 is 46610828988244.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×442889828016640² (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 442889828016640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310364279607 + ... + 310364281033.

Almost surely, 2^{442889828016640} is an apocalyptic number.

442889828016640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442889828016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537488870510592).

442889828016640 is an abundant number, since it is smaller than the sum of its proper divisors (632087913004544).

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

442889828016640 is a wasteful number, since it uses less digits than its factorization.

442889828016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 70.

The spelling of 442889828016640 in words is "four hundred forty-two trillion, eight hundred eighty-nine billion, eight hundred twenty-eight million, sixteen thousand, six hundred forty".