442134152000 has 224 divisors, whose sum is σ = 1179423258624. Its totient is φ = 163705344000.

The previous prime is 442134151993. The next prime is 442134152017. The reversal of 442134152000 is 251431244.

It is a congruent number.

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, 5665244 + ... + 5742756.

Almost surely, 2^442134152000 is an apocalyptic number.

442134152000 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 442134152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589711629312).

442134152000 is an abundant number, since it is smaller than the sum of its proper divisors (737289106624).

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

442134152000 is a wasteful number, since it uses less digits than its factorization.

442134152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77594 (or 77574 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 442134152000 its reverse (251431244), we get a palindrome (442385583244).

The spelling of 442134152000 in words is "four hundred forty-two billion, one hundred thirty-four million, one hundred fifty-two thousand".