442490400277380 has 576 divisors, whose sum is σ = 1750124801617920. Its totient is φ = 87819265179648.

The previous prime is 442490400277379. The next prime is 442490400277439. The reversal of 442490400277380 is 83772004094244.

442490400277380 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 90 + 400 + 2 + 7 + 73 + 80 = 666.

It is a super-3 number, since 3×442490400277380³ (a number of 45 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 494376301 + ... + 495270539.

It is an arithmetic number, because the mean of its divisors is an integer number (3038411113920).

Almost surely, 2^{442490400277380} 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 442490400277380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875062400808960).

442490400277380 is an abundant number, since it is smaller than the sum of its proper divisors (1307634401340540).

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

442490400277380 is a wasteful number, since it uses less digits than its factorization.

442490400277380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896068 (or 896063 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 442490400277380 in words is "four hundred forty-two trillion, four hundred ninety billion, four hundred million, two hundred seventy-seven thousand, three hundred eighty".