401320440 has 128 divisors (see below), whose sum is σ = 1345780800. Its totient is φ = 106375680.

The previous prime is 401320433. The next prime is 401320453. The reversal of 401320440 is 44023104.

It is a super-2 number, since 2×401320440² = 322116191123587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194454 + ... + 196506.

Almost surely, 2^401320440 is an apocalyptic number.

401320440 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 401320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672890400).

401320440 is an abundant number, since it is smaller than the sum of its proper divisors (944460360).

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

401320440 is a wasteful number, since it uses less digits than its factorization.

401320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 401320440 is about 20032.9838017206. The cubic root of 401320440 is about 737.6161663225.

Adding to 401320440 its reverse (44023104), we get a palindrome (445343544).

The spelling of 401320440 in words is "four hundred one million, three hundred twenty thousand, four hundred forty".