401138032 has 80 divisors (see below), whose sum is σ = 863516160. Its totient is φ = 179663616.

The previous prime is 401138027. The next prime is 401138033. The reversal of 401138032 is 230831104.

It is a junction number, because it is equal to n+sod(n) for n = 401137994 and 401138012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401138033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719898 + ... + 720454.

It is an arithmetic number, because the mean of its divisors is an integer number (10793952).

Almost surely, 2^401138032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431758080).

401138032 is an abundant number, since it is smaller than the sum of its proper divisors (462378128).

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

401138032 is a wasteful number, since it uses less digits than its factorization.

401138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 401138032 is about 20028.4305925352. The cubic root of 401138032 is about 737.5043957221.

Adding to 401138032 its reverse (230831104), we get a palindrome (631969136).

The spelling of 401138032 in words is "four hundred one million, one hundred thirty-eight thousand, thirty-two".