444400400440 has 48 divisors (see below), whose sum is σ = 1055297107080. Its totient is φ = 168404356800.

The previous prime is 444400400429. The next prime is 444400400441. The reversal of 444400400440 is 44004004444.

It is a super-2 number, since 2×444400400440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444400400399 and 444400400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444400400441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15373386 + ... + 15402265.

Almost surely, 2^444400400440 is an apocalyptic number.

444400400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444400400440 is an abundant number, since it is smaller than the sum of its proper divisors (610896706640).

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

444400400440 is a wasteful number, since it uses less digits than its factorization.

444400400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775700 (or 30775677 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444400400440 its reverse (44004004444), we get a palindrome (488404404884).

It can be divided in two parts, 4 and 44400400440, that added together give a palindrome (44400400444).

The spelling of 444400400440 in words is "four hundred forty-four billion, four hundred million, four hundred thousand, four hundred forty".