326205401742 has 160 divisors (see below), whose sum is σ = 840648340224. Its totient is φ = 93576384000.

The previous prime is 326205401723. The next prime is 326205401791. The reversal of 326205401742 is 247104502623.

326205401742 is a `hidden beast` number, since 3 + 2 + 6 + 205 + 401 + 7 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 326205401697 and 326205401706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3934617 + ... + 4016667.

Almost surely, 2^326205401742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326205401742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420324170112).

326205401742 is an abundant number, since it is smaller than the sum of its proper divisors (514442938482).

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

326205401742 is a wasteful number, since it uses less digits than its factorization.

326205401742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82196 (or 82187 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 326205401742 in words is "three hundred twenty-six billion, two hundred five million, four hundred one thousand, seven hundred forty-two".