442235164140 has 288 divisors, whose sum is σ = 1673441602560. Its totient is φ = 91838707200.

The previous prime is 442235164123. The next prime is 442235164207. The reversal of 442235164140 is 41461532244.

442235164140 is a `hidden beast` number, since 4 + 4 + 2 + 2 + 3 + 5 + 1 + 641 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 442235164095 and 442235164104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26034450 + ... + 26051430.

It is an arithmetic number, because the mean of its divisors is an integer number (5810561120).

Almost surely, 2^442235164140 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 442235164140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836720801280).

442235164140 is an abundant number, since it is smaller than the sum of its proper divisors (1231206438420).

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

442235164140 is a wasteful number, since it uses less digits than its factorization.

442235164140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18893 (or 18888 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 442235164140 its reverse (41461532244), we get a palindrome (483696696384).

The spelling of 442235164140 in words is "four hundred forty-two billion, two hundred thirty-five million, one hundred sixty-four thousand, one hundred forty".