401410125 has 48 divisors (see below), whose sum is σ = 726064560. Its totient is φ = 213360000.

The previous prime is 401410123. The next prime is 401410129. The reversal of 401410125 is 521014104.

It can be written as a sum of positive squares in 8 ways, for example, as 21511044 + 379899081 = 4638^2 + 19491^2 .

It is not a de Polignac number, because 401410125 - 2¹ = 401410123 is a prime.

It is a super-2 number, since 2×401410125² = 322260176905031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401410098 and 401410107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401410123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572275 + ... + 572975.

It is an arithmetic number, because the mean of its divisors is an integer number (15126345).

Almost surely, 2^401410125 is an apocalyptic number.

401410125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401410125 is a deficient number, since it is larger than the sum of its proper divisors (324654435).

401410125 is a wasteful number, since it uses less digits than its factorization.

401410125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 401410125 is about 20035.2221100740. Note that the first 3 decimals coincide. The cubic root of 401410125 is about 737.6711084353.

Adding to 401410125 its reverse (521014104), we get a palindrome (922424229).

The spelling of 401410125 in words is "four hundred one million, four hundred ten thousand, one hundred twenty-five".