326181912840 has 384 divisors, whose sum is σ = 1243822694400. Its totient is φ = 72580354560.

The previous prime is 326181912827. The next prime is 326181912841. The reversal of 326181912840 is 48219181623.

326181912840 is a `hidden beast` number, since 3 + 2 + 618 + 1 + 9 + 1 + 28 + 4 + 0 = 666.

It is a super-2 number, since 2×326181912840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (326181912841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33695121 + ... + 33704799.

It is an arithmetic number, because the mean of its divisors is an integer number (3239121600).

Almost surely, 2^326181912840 is an apocalyptic number.

326181912840 is a gapful number since it is divisible by the number (30) 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 326181912840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621911347200).

326181912840 is an abundant number, since it is smaller than the sum of its proper divisors (917640781560).

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

326181912840 is a wasteful number, since it uses less digits than its factorization.

326181912840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10050 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 326181912840 in words is "three hundred twenty-six billion, one hundred eighty-one million, nine hundred twelve thousand, eight hundred forty".