320040120414 has 128 divisors (see below), whose sum is σ = 763551360000. Its totient is φ = 87525494784.

The previous prime is 320040120377. The next prime is 320040120427. The reversal of 320040120414 is 414021040023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 119550444 + ... + 119553120.

It is an arithmetic number, because the mean of its divisors is an integer number (5965245000).

Almost surely, 2^320040120414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320040120414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381775680000).

320040120414 is an abundant number, since it is smaller than the sum of its proper divisors (443511239586).

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

320040120414 is a wasteful number, since it uses less digits than its factorization.

320040120414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 320040120414 its reverse (414021040023), we get a palindrome (734061160437).

The spelling of 320040120414 in words is "three hundred twenty billion, forty million, one hundred twenty thousand, four hundred fourteen".