401338125 has 80 divisors (see below), whose sum is σ = 787248000. Its totient is φ = 201312000.

The previous prime is 401338103. The next prime is 401338181. The reversal of 401338125 is 521833104.

It is a happy number.

401338125 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 401338125 - 2⁹ = 401337613 is a prime.

It is a super-3 number, since 3×401338125³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 286176 + ... + 287574.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600).

Almost surely, 2^401338125 is an apocalyptic number.

401338125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401338125 is a deficient number, since it is larger than the sum of its proper divisors (385909875).

401338125 is a wasteful number, since it uses less digits than its factorization.

401338125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 401338125 is about 20033.4251939103. The cubic root of 401338125 is about 737.6270010147.

The spelling of 401338125 in words is "four hundred one million, three hundred thirty-eight thousand, one hundred twenty-five".