40444004040 has 128 divisors (see below), whose sum is σ = 132834453120. Its totient is φ = 9769625600.

The previous prime is 40444004039. The next prime is 40444004047. The reversal of 40444004040 is 4040044404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40444004040.

It is not an unprimeable number, because it can be changed into a prime (40444004047) 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, 316402 + ... + 425438.

It is an arithmetic number, because the mean of its divisors is an integer number (1037769165).

Almost surely, 2^40444004040 is an apocalyptic number.

40444004040 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 40444004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66417226560).

40444004040 is an abundant number, since it is smaller than the sum of its proper divisors (92390449080).

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

40444004040 is a wasteful number, since it uses less digits than its factorization.

40444004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109343 (or 109339 counting only the distinct ones).

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

Adding to 40444004040 its reverse (4040044404), we get a palindrome (44484048444).

The spelling of 40444004040 in words is "forty billion, four hundred forty-four million, four thousand, forty".