442843251840 has 1280 divisors, whose sum is σ = 1818124704000. Its totient is φ = 101722521600.

The previous prime is 442843251743. The next prime is 442843251871. The reversal of 442843251840 is 48152348244.

442843251840 is a `hidden beast` number, since 4 + 4 + 284 + 325 + 1 + 8 + 40 = 666.

It is a super-2 number, since 2×442843251840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1008754341 + ... + 1008754779.

It is an arithmetic number, because the mean of its divisors is an integer number (1420409925).

Almost surely, 2^442843251840 is an apocalyptic number.

442843251840 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 442843251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909062352000).

442843251840 is an abundant number, since it is smaller than the sum of its proper divisors (1375281452160).

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

442843251840 is a wasteful number, since it uses less digits than its factorization.

442843251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 442843251840 in words is "four hundred forty-two billion, eight hundred forty-three million, two hundred fifty-one thousand, eight hundred forty".