401023040 has 84 divisors (see below), whose sum is σ = 1049741868. Its totient is φ = 145812480.

The previous prime is 401023001. The next prime is 401023067. The reversal of 401023040 is 40320104.

401023040 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 171924544 + 229098496 = 13112^2 + 15136^2 .

It is a super-2 number, since 2×401023040² = 321638957221683200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33542 + ... + 43898.

It is an arithmetic number, because the mean of its divisors is an integer number (12496927).

Almost surely, 2^401023040 is an apocalyptic number.

401023040 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 401023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524870934).

401023040 is an abundant number, since it is smaller than the sum of its proper divisors (648718828).

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

401023040 is a wasteful number, since it uses less digits than its factorization.

401023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10396 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 401023040 is about 20025.5596675848. The cubic root of 401023040 is about 737.4339168980.

Adding to 401023040 its reverse (40320104), we get a palindrome (441343144).

The spelling of 401023040 in words is "four hundred one million, twenty-three thousand, forty".