442336135460544 has 224 divisors, whose sum is σ = 1401125971976640. Its totient is φ = 136034429681664.

The previous prime is 442336135460537. The next prime is 442336135460581. The reversal of 442336135460544 is 445064531633244.

442336135460544 is a `hidden beast` number, since 4 + 4 + 2 + 3 + 3 + 6 + 1 + 35 + 4 + 60 + 544 = 666.

It is a super-2 number, since 2×442336135460544² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39331384 + ... + 49311560.

It is an arithmetic number, because the mean of its divisors is an integer number (6255026660610).

Almost surely, 2^{442336135460544} 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 442336135460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700562985988320).

442336135460544 is an abundant number, since it is smaller than the sum of its proper divisors (958789836516096).

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

442336135460544 is a wasteful number, since it uses less digits than its factorization.

442336135460544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982184 (or 9982168 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 54.

The spelling of 442336135460544 in words is "four hundred forty-two trillion, three hundred thirty-six billion, one hundred thirty-five million, four hundred sixty thousand, five hundred forty-four".