440412433340 has 96 divisors (see below), whose sum is σ = 1013150121984. Its totient is φ = 159483663360.

The previous prime is 440412433313. The next prime is 440412433361. The reversal of 440412433340 is 43334214044.

It is a super-2 number, since 2×440412433340² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440412433297 and 440412433306.

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, 71690309 + ... + 71696451.

It is an arithmetic number, because the mean of its divisors is an integer number (10553647104).

Almost surely, 2^440412433340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440412433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506575060992).

440412433340 is an abundant number, since it is smaller than the sum of its proper divisors (572737688644).

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

440412433340 is a wasteful number, since it uses less digits than its factorization.

440412433340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7467 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 440412433340 its reverse (43334214044), we get a palindrome (483746647384).

The spelling of 440412433340 in words is "four hundred forty billion, four hundred twelve million, four hundred thirty-three thousand, three hundred forty".