442076999780160 has 112 divisors (see below), whose sum is σ = 1559549415921600. Its totient is φ = 117887199939072.

The previous prime is 442076999780159. The next prime is 442076999780167. The reversal of 442076999780160 is 61087999670244.

442076999780160 is a `hidden beast` number, since 4 + 420 + 7 + 69 + 9 + 9 + 7 + 80 + 1 + 60 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442076999780167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25583151070 + ... + 25583168349.

Almost surely, 2^{442076999780160} is an apocalyptic number.

442076999780160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442076999780160 is an abundant number, since it is smaller than the sum of its proper divisors (1117472416141440).

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

442076999780160 is a wasteful number, since it uses less digits than its factorization.

442076999780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51166319445 (or 51166319429 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 442076999780160 in words is "four hundred forty-two trillion, seventy-six billion, nine hundred ninety-nine million, seven hundred eighty thousand, one hundred sixty".