401121320 has 16 divisors (see below), whose sum is σ = 902523060. Its totient is φ = 160448512.

The previous prime is 401121319. The next prime is 401121337. The reversal of 401121320 is 23121104.

401121320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 395293924 + 5827396 = 19882^2 + 2414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 401121295 and 401121304.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5013977 + ... + 5014056.

Almost surely, 2^401121320 is an apocalyptic number.

401121320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401121320 is an abundant number, since it is smaller than the sum of its proper divisors (501401740).

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

401121320 is a wasteful number, since it uses less digits than its factorization.

401121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028044 (or 10028040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 401121320 is about 20028.0133812618. The cubic root of 401121320 is about 737.4941537409.

Adding to 401121320 its reverse (23121104), we get a palindrome (424242424).

The spelling of 401121320 in words is "four hundred one million, one hundred twenty-one thousand, three hundred twenty".