171642401280 has 480 divisors, whose sum is σ = 719340994944. Its totient is φ = 36924162048.

The previous prime is 171642401279. The next prime is 171642401299. The reversal of 171642401280 is 82104246171.

It is a happy number.

171642401280 is a `hidden beast` number, since 1 + 7 + 1 + 642 + 4 + 0 + 1 + 2 + 8 + 0 = 666.

171642401280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×171642401280² (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 2710459 + ... + 2773061.

Almost surely, 2^171642401280 is an apocalyptic number.

171642401280 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 171642401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359670497472).

171642401280 is an abundant number, since it is smaller than the sum of its proper divisors (547698593664).

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

171642401280 is a wasteful number, since it uses less digits than its factorization.

171642401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62656 (or 62637 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 171642401280 in words is "one hundred seventy-one billion, six hundred forty-two million, four hundred one thousand, two hundred eighty".