40442434440 has 128 divisors (see below), whose sum is σ = 124823462400. Its totient is φ = 10476154880.

The previous prime is 40442434421. The next prime is 40442434441. The reversal of 40442434440 is 4443424404.

It is a super-2 number, since 2×40442434440² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40442434441) 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, 1128721 + ... + 1163999.

It is an arithmetic number, because the mean of its divisors is an integer number (975183300).

Almost surely, 2^40442434440 is an apocalyptic number.

40442434440 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 40442434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62411731200).

40442434440 is an abundant number, since it is smaller than the sum of its proper divisors (84381027960).

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

40442434440 is a wasteful number, since it uses less digits than its factorization.

40442434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35567 (or 35563 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 40442434440 its reverse (4443424404), we get a palindrome (44885858844).

The spelling of 40442434440 in words is "forty billion, four hundred forty-two million, four hundred thirty-four thousand, four hundred forty".