442120000140 has 384 divisors, whose sum is σ = 1698737080320. Its totient is φ = 92961063936.

The previous prime is 442120000121. The next prime is 442120000211. The reversal of 442120000140 is 41000021244.

442120000140 is a `hidden beast` number, since 4 + 421 + 200 + 0 + 0 + 1 + 40 = 666.

442120000140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14382667 + ... + 14413373.

It is an arithmetic number, because the mean of its divisors is an integer number (4423794480).

Almost surely, 2^442120000140 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 442120000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849368540160).

442120000140 is an abundant number, since it is smaller than the sum of its proper divisors (1256617080180).

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

442120000140 is a wasteful number, since it uses less digits than its factorization.

442120000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31038 (or 31030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 442120000140 its reverse (41000021244), we get a palindrome (483120021384).

The spelling of 442120000140 in words is "four hundred forty-two billion, one hundred twenty million, one hundred forty", and thus it is an aban number.