442901640672 has 72 divisors (see below), whose sum is σ = 1302932652840. Its totient is φ = 142543054080.

The previous prime is 442901640631. The next prime is 442901640677. The reversal of 442901640672 is 276046109244.

442901640672 is a `hidden beast` number, since 4 + 429 + 0 + 164 + 0 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×442901640672³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442901640677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26506354 + ... + 26523057.

It is an arithmetic number, because the mean of its divisors is an integer number (18096286845).

Almost surely, 2^442901640672 is an apocalyptic number.

It is an amenable number.

442901640672 is an abundant number, since it is smaller than the sum of its proper divisors (860031012168).

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

442901640672 is a wasteful number, since it uses less digits than its factorization.

442901640672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53029456 (or 53029445 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 442901640672 in words is "four hundred forty-two billion, nine hundred one million, six hundred forty thousand, six hundred seventy-two".