401133040 has 80 divisors (see below), whose sum is σ = 1162782720. Its totient is φ = 125026560.

The previous prime is 401133023. The next prime is 401133067. The reversal of 401133040 is 40331104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26400 + ... + 38719.

It is an arithmetic number, because the mean of its divisors is an integer number (14534784).

Almost surely, 2^401133040 is an apocalyptic number.

401133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401133040 is an abundant number, since it is smaller than the sum of its proper divisors (761649680).

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

401133040 is a wasteful number, since it uses less digits than its factorization.

401133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65150 (or 65144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 401133040 is about 20028.3059693025. The cubic root of 401133040 is about 737.5013363952.

Adding to 401133040 its reverse (40331104), we get a palindrome (441464144).

The spelling of 401133040 in words is "four hundred one million, one hundred thirty-three thousand, forty".