401224242320 has 80 divisors (see below), whose sum is σ = 1018434494592. Its totient is φ = 145787335680.

The previous prime is 401224242313. The next prime is 401224242343. The reversal of 401224242320 is 23242422104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 401224242320.

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 15 ways as a sum of consecutive naturals, for example, 971684 + ... + 1321596.

Almost surely, 2^401224242320 is an apocalyptic number.

401224242320 is a gapful number since it is divisible by the number (40) 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 401224242320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509217247296).

401224242320 is an abundant number, since it is smaller than the sum of its proper divisors (617210252272).

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

401224242320 is a wasteful number, since it uses less digits than its factorization.

401224242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351240 (or 351234 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 401224242320 its reverse (23242422104), we get a palindrome (424466664424).

The spelling of 401224242320 in words is "four hundred one billion, two hundred twenty-four million, two hundred forty-two thousand, three hundred twenty".