442036436380 has 192 divisors, whose sum is σ = 1170414572544. Its totient is φ = 136224000000.

The previous prime is 442036436357. The next prime is 442036436441. The reversal of 442036436380 is 83634630244.

It is a super-2 number, since 2×442036436380² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147294880 + ... + 147297880.

It is an arithmetic number, because the mean of its divisors is an integer number (6095909232).

Almost surely, 2^442036436380 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 442036436380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585207286272).

442036436380 is an abundant number, since it is smaller than the sum of its proper divisors (728378136164).

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

442036436380 is a wasteful number, since it uses less digits than its factorization.

442036436380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 43.

The spelling of 442036436380 in words is "four hundred forty-two billion, thirty-six million, four hundred thirty-six thousand, three hundred eighty".