442505402040 has 192 divisors, whose sum is σ = 1461856118400. Its totient is φ = 107077940736.

The previous prime is 442505401999. The next prime is 442505402077. The reversal of 442505402040 is 40204505244.

It is a super-2 number, since 2×442505402040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442505401989 and 442505402007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011607 + ... + 1381433.

It is an arithmetic number, because the mean of its divisors is an integer number (7613833950).

Almost surely, 2^442505402040 is an apocalyptic number.

442505402040 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 442505402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730928059200).

442505402040 is an abundant number, since it is smaller than the sum of its proper divisors (1019350716360).

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

442505402040 is a wasteful number, since it uses less digits than its factorization.

442505402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369926 (or 369909 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 442505402040 its reverse (40204505244), we get a palindrome (482709907284).

The spelling of 442505402040 in words is "four hundred forty-two billion, five hundred five million, four hundred two thousand, forty".