4442012002000 has 80 divisors (see below), whose sum is σ = 10741307168592. Its totient is φ = 1776718425600.

The previous prime is 4442012001991. The next prime is 4442012002061. The reversal of 4442012002000 is 2002102444.

It can be written as a sum of positive squares in 8 ways, for example, as 3903026969664 + 538985032336 = 1975608^2 + 734156^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55265842 + ... + 55346158.

Almost surely, 2^{4442012002000} is an apocalyptic number.

4442012002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442012002000 is an abundant number, since it is smaller than the sum of its proper divisors (6299295166592).

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

4442012002000 is a wasteful number, since it uses less digits than its factorization.

4442012002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107993 (or 107977 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 4442012002000 its reverse (2002102444), we get a palindrome (4444014104444).

The spelling of 4442012002000 in words is "four trillion, four hundred forty-two billion, twelve million, two thousand".