442134152001 has 24 divisors (see below), whose sum is σ = 662357754240. Its totient is φ = 294726609072.

The previous prime is 442134151993. The next prime is 442134152017. The reversal of 442134152001 is 100251431244.

442134152001 is a `hidden beast` number, since 4 + 4 + 2 + 134 + 1 + 520 + 0 + 1 = 666.

It is not a de Polignac number, because 442134152001 - 2³ = 442134151993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442134152021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493240 + ... + 2664678.

It is an arithmetic number, because the mean of its divisors is an integer number (27598239760).

Almost surely, 2^442134152001 is an apocalyptic number.

It is an amenable number.

442134152001 is a deficient number, since it is larger than the sum of its proper divisors (220223602239).

442134152001 is a wasteful number, since it uses less digits than its factorization.

442134152001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182067 (or 182055 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 442134152001 its reverse (100251431244), we get a palindrome (542385583245).

The spelling of 442134152001 in words is "four hundred forty-two billion, one hundred thirty-four million, one hundred fifty-two thousand, one".