40040440440 has 256 divisors, whose sum is σ = 161282257920. Its totient is φ = 7680061440.

The previous prime is 40040440423. The next prime is 40040440463. The reversal of 40040440440 is 4404404004.

It is a Harshad number since it is a multiple of its sum of digits (24).

40040440440 is a modest number, since divided by 440440 gives 40040 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 40040440440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46549 + ... + 286788.

It is an arithmetic number, because the mean of its divisors is an integer number (630008820).

Almost surely, 2^40040440440 is an apocalyptic number.

40040440440 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 40040440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80641128960).

40040440440 is an abundant number, since it is smaller than the sum of its proper divisors (121241817480).

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

40040440440 is a wasteful number, since it uses less digits than its factorization.

40040440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333382 (or 333378 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40040440440 its reverse (4404404004), we get a palindrome (44444844444).

The spelling of 40040440440 in words is "forty billion, forty million, four hundred forty thousand, four hundred forty".