401344400440 has 32 divisors (see below), whose sum is σ = 903916428480. Its totient is φ = 160379266432.

The previous prime is 401344400437. The next prime is 401344400441. The reversal of 401344400440 is 44004443104.

It is a super-2 number, since 2×401344400440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401344400399 and 401344400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401344400441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4911904 + ... + 4992943.

It is an arithmetic number, because the mean of its divisors is an integer number (28247388390).

Almost surely, 2^401344400440 is an apocalyptic number.

401344400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401344400440 is an abundant number, since it is smaller than the sum of its proper divisors (502572028040).

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

401344400440 is a wasteful number, since it uses less digits than its factorization.

401344400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9905871 (or 9905867 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 401344400440 its reverse (44004443104), we get a palindrome (445348843544).

The spelling of 401344400440 in words is "four hundred one billion, three hundred forty-four million, four hundred thousand, four hundred forty".