401130323041240 has 256 divisors, whose sum is σ = 1072481563238400. Its totient is φ = 133756193894400.

The previous prime is 401130323041157. The next prime is 401130323041249. The reversal of 401130323041240 is 42140323031104.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 401130323041199 and 401130323041208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401130323041249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2007091 + ... + 28395229.

It is an arithmetic number, because the mean of its divisors is an integer number (4189381106400).

Almost surely, 2^{401130323041240} is an apocalyptic number.

401130323041240 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 401130323041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536240781619200).

401130323041240 is an abundant number, since it is smaller than the sum of its proper divisors (671351240197160).

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

401130323041240 is a wasteful number, since it uses less digits than its factorization.

401130323041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388258 (or 26388254 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 401130323041240 its reverse (42140323031104), we get a palindrome (443270646072344).

The spelling of 401130323041240 in words is "four hundred one trillion, one hundred thirty billion, three hundred twenty-three million, forty-one thousand, two hundred forty".