400444444440 has 128 divisors (see below), whose sum is σ = 1334953612800. Its totient is φ = 106774081920.

The previous prime is 400444444423. The next prime is 400444444441. The reversal of 400444444440 is 44444444004.

It is a super-3 number, since 3×400444444440³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 400444444395 and 400444444404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400444444441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19830589 + ... + 19850771.

It is an arithmetic number, because the mean of its divisors is an integer number (10429325100).

Almost surely, 2^400444444440 is an apocalyptic number.

400444444440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400444444440 is an abundant number, since it is smaller than the sum of its proper divisors (934509168360).

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

400444444440 is a wasteful number, since it uses less digits than its factorization.

400444444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38574 (or 38564 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 400444444440 its reverse (44444444004), we get a palindrome (444888888444).

The spelling of 400444444440 in words is "four hundred billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty".