442479682925280 has 6912 divisors, whose sum is σ = 2232424907661312. Its totient is φ = 81943761715200.

The previous prime is 442479682925251. The next prime is 442479682925303. The reversal of 442479682925280 is 82529286974244.

It is a happy number.

442479682925280 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 7 + 9 + 6 + 8 + 2 + 92 + 528 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 442479682925199 and 442479682925208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1021893031944 + ... + 1021893032376.

It is an arithmetic number, because the mean of its divisors is an integer number (322978140576).

Almost surely, 2^{442479682925280} is an apocalyptic number.

442479682925280 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 442479682925280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116212453830656).

442479682925280 is an abundant number, since it is smaller than the sum of its proper divisors (1789945224736032).

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

442479682925280 is a wasteful number, since it uses less digits than its factorization.

442479682925280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 442479682925280 in words is "four hundred forty-two trillion, four hundred seventy-nine billion, six hundred eighty-two million, nine hundred twenty-five thousand, two hundred eighty".