442689043500 has 384 divisors, whose sum is σ = 1574928875520. Its totient is φ = 106468992000.

The previous prime is 442689043457. The next prime is 442689043523. The reversal of 442689043500 is 5340986244.

442689043500 is a `hidden beast` number, since 4 + 4 + 26 + 89 + 0 + 43 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18847764 + ... + 18871236.

It is an arithmetic number, because the mean of its divisors is an integer number (4101377280).

Almost surely, 2^442689043500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442689043500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787464437760).

442689043500 is an abundant number, since it is smaller than the sum of its proper divisors (1132239832020).

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

442689043500 is a wasteful number, since it uses less digits than its factorization.

442689043500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23639 (or 23621 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 442689043500 in words is "four hundred forty-two billion, six hundred eighty-nine million, forty-three thousand, five hundred".