442480689840 has 960 divisors, whose sum is σ = 1750927933440. Its totient is φ = 91811543040.

The previous prime is 442480689793. The next prime is 442480689961. The reversal of 442480689840 is 48986084244.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 879683029 + ... + 879683531.

It is an arithmetic number, because the mean of its divisors is an integer number (1823883264).

Almost surely, 2^442480689840 is an apocalyptic number.

442480689840 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 442480689840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875463966720).

442480689840 is an abundant number, since it is smaller than the sum of its proper divisors (1308447243600).

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

442480689840 is a wasteful number, since it uses less digits than its factorization.

442480689840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 57.

The spelling of 442480689840 in words is "four hundred forty-two billion, four hundred eighty million, six hundred eighty-nine thousand, eight hundred forty".