161401979419200 has 1344 divisors, whose sum is σ = 649172925273600. Its totient is φ = 38763447091200.

The previous prime is 161401979419199. The next prime is 161401979419201. The reversal of 161401979419200 is 2914979104161.

It is a happy number.

161401979419200 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 0 + 19 + 7 + 9 + 419 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (161401979419199) and next prime (161401979419201).

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

It is not an unprimeable number, because it can be changed into a prime (161401979419201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5387413821 + ... + 5387443779.

It is an arithmetic number, because the mean of its divisors is an integer number (483015569400).

Almost surely, 2^{161401979419200} is an apocalyptic number.

161401979419200 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 161401979419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324586462636800).

161401979419200 is an abundant number, since it is smaller than the sum of its proper divisors (487770945854400).

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

161401979419200 is a wasteful number, since it uses less digits than its factorization.

161401979419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30237 (or 30216 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 161401979419200 in words is "one hundred sixty-one trillion, four hundred one billion, nine hundred seventy-nine million, four hundred nineteen thousand, two hundred".