161789941440 has 672 divisors, whose sum is σ = 601032047616. Its totient is φ = 39840768000.

The previous prime is 161789941433. The next prime is 161789941499. The reversal of 161789941440 is 44149987161.

It is a happy number.

161789941440 is a `hidden beast` number, since 1 + 6 + 1 + 78 + 99 + 41 + 440 = 666.

161789941440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×161789941440³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615170749 + ... + 615171011.

It is an arithmetic number, because the mean of its divisors is an integer number (894392928).

Almost surely, 2^161789941440 is an apocalyptic number.

161789941440 is a gapful number since it is divisible by the number (10) 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 161789941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300516023808).

161789941440 is an abundant number, since it is smaller than the sum of its proper divisors (439242106176).

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

161789941440 is a wasteful number, since it uses less digits than its factorization.

161789941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 161789941440 in words is "one hundred sixty-one billion, seven hundred eighty-nine million, nine hundred forty-one thousand, four hundred forty".