401434440 has 96 divisors (see below), whose sum is σ = 1323786240. Its totient is φ = 97313920.

The previous prime is 401434409. The next prime is 401434477. The reversal of 401434440 is 44434104.

It is a super-2 number, since 2×401434440² = 322299219236227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 401434440.

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 23 ways as a sum of consecutive naturals, for example, 697 + ... + 28343.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^401434440 is an apocalyptic number.

401434440 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 401434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

401434440 is an abundant number, since it is smaller than the sum of its proper divisors (922351800).

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

401434440 is a wasteful number, since it uses less digits than its factorization.

401434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27683 (or 27668 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 401434440 is about 20035.8289072352. The cubic root of 401434440 is about 737.6860026875.

Adding to 401434440 its reverse (44434104), we get a palindrome (445868544).

The spelling of 401434440 in words is "four hundred one million, four hundred thirty-four thousand, four hundred forty".