942001220160 has 3584 divisors, whose sum is σ = 4866656256000. Its totient is φ = 164985569280.

The previous prime is 942001220129. The next prime is 942001220183. The reversal of 942001220160 is 61022100249.

942001220160 is a `hidden beast` number, since 9 + 420 + 0 + 1 + 220 + 16 + 0 = 666.

942001220160 is digitally balanced in base 2, 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6322155766 + ... + 6322155914.

It is an arithmetic number, because the mean of its divisors is an integer number (1357884000).

Almost surely, 2^942001220160 is an apocalyptic number.

942001220160 is a gapful number since it is divisible by the number (90) 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 942001220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433328128000).

942001220160 is an abundant number, since it is smaller than the sum of its proper divisors (3924655035840).

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

942001220160 is a wasteful number, since it uses less digits than its factorization.

942001220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 942001220160 in words is "nine hundred forty-two billion, one million, two hundred twenty thousand, one hundred sixty".