401244103680 has 704 divisors, whose sum is σ = 1570523904000. Its totient is φ = 85387640832.

The previous prime is 401244103679. The next prime is 401244103681. The reversal of 401244103680 is 86301442104.

It is an interprime number because it is at equal distance from previous prime (401244103679) and next prime (401244103681).

It is not an unprimeable number, because it can be changed into a prime (401244103681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120528256 + ... + 120531584.

Almost surely, 2^401244103680 is an apocalyptic number.

401244103680 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 401244103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785261952000).

401244103680 is an abundant number, since it is smaller than the sum of its proper divisors (1169279800320).

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

401244103680 is a wasteful number, since it uses less digits than its factorization.

401244103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 401244103680 its reverse (86301442104), we get a palindrome (487545545784).

The spelling of 401244103680 in words is "four hundred one billion, two hundred forty-four million, one hundred three thousand, six hundred eighty".