442489154194080 has 3456 divisors, whose sum is σ = 1946867712491520. Its totient is φ = 90883081175040.

The previous prime is 442489154194027. The next prime is 442489154194117. The reversal of 442489154194080 is 80491451984244.

442489154194080 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 8 + 9 + 1 + 541 + 9 + 4 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 442489154193999 and 442489154194017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1021914905544 + ... + 1021914905976.

It is an arithmetic number, because the mean of its divisors is an integer number (563329777920).

Almost surely, 2^{442489154194080} is an apocalyptic number.

442489154194080 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 442489154194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973433856245760).

442489154194080 is an abundant number, since it is smaller than the sum of its proper divisors (1504378558297440).

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

442489154194080 is a wasteful number, since it uses less digits than its factorization.

442489154194080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 442489154194080 in words is "four hundred forty-two trillion, four hundred eighty-nine billion, one hundred fifty-four million, one hundred ninety-four thousand, eighty".