442156548420 has 240 divisors, whose sum is σ = 1410410631168. Its totient is φ = 115932660480.

The previous prime is 442156548409. The next prime is 442156548481. The reversal of 442156548420 is 24845651244.

442156548420 is a `hidden beast` number, since 4 + 4 + 2 + 1 + 565 + 4 + 84 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44047642 + ... + 44057678.

Almost surely, 2^442156548420 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 442156548420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705205315584).

442156548420 is an abundant number, since it is smaller than the sum of its proper divisors (968254082748).

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

442156548420 is a wasteful number, since it uses less digits than its factorization.

442156548420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 442156548420 in words is "four hundred forty-two billion, one hundred fifty-six million, five hundred forty-eight thousand, four hundred twenty".