401363400000000 has 360 divisors, whose sum is σ = 1336572792236880. Its totient is φ = 107030080000000.

The previous prime is 401363399999981. The next prime is 401363400000011. The reversal of 401363400000000 is 4363104.

It is a super-2 number, since 2×401363400000000² (a number of 30 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 599665531 + ... + 600334469.

It is an arithmetic number, because the mean of its divisors is an integer number (3712702200658).

Almost surely, 2^{401363400000000} is an apocalyptic number.

401363400000000 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 401363400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668286396118440).

401363400000000 is an abundant number, since it is smaller than the sum of its proper divisors (935209392236880).

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

401363400000000 is an frugal number, since it uses more digits than its factorization.

401363400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669000 (or 668949 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 401363400000000 its reverse (4363104), we get a palindrome (401363404363104).

The spelling of 401363400000000 in words is "four hundred one trillion, three hundred sixty-three billion, four hundred million", and thus it is an aban number.