401010440 has 32 divisors (see below), whose sum is σ = 926662680. Its totient is φ = 156068352.

The previous prime is 401010397. The next prime is 401010457. The reversal of 401010440 is 44010104.

It can be written as a sum of positive squares in 4 ways, for example, as 283114276 + 117896164 = 16826^2 + 10858^2 .

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 7 ways as a sum of consecutive naturals, for example, 133997 + ... + 136956.

Almost surely, 2^401010440 is an apocalyptic number.

401010440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401010440 is an abundant number, since it is smaller than the sum of its proper divisors (525652240).

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

401010440 is a wasteful number, since it uses less digits than its factorization.

401010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271001 (or 270997 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 401010440 is about 20025.2450671646. The cubic root of 401010440 is about 737.4261935141.

Adding to 401010440 its reverse (44010104), we get a palindrome (445020544).

The spelling of 401010440 in words is "four hundred one million, ten thousand, four hundred forty".