401330440 has 64 divisors (see below), whose sum is σ = 1037036160. Its totient is φ = 136926720.

The previous prime is 401330437. The next prime is 401330443. The reversal of 401330440 is 44033104.

It is an interprime number because it is at equal distance from previous prime (401330437) and next prime (401330443).

It is a super-2 number, since 2×401330440² = 322132244141187200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401330443) 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, 55684 + ... + 62476.

It is an arithmetic number, because the mean of its divisors is an integer number (16203690).

Almost surely, 2^401330440 is an apocalyptic number.

401330440 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 401330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518518080).

401330440 is an abundant number, since it is smaller than the sum of its proper divisors (635705720).

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

401330440 is a wasteful number, since it uses less digits than its factorization.

401330440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 401330440 is about 20033.2333885471. The cubic root of 401330440 is about 737.6222928486.

Adding to 401330440 its reverse (44033104), we get a palindrome (445363544).

It can be divided in two parts, 4013 and 30440, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 401330440 in words is "four hundred one million, three hundred thirty thousand, four hundred forty".