40044009456 has 240 divisors, whose sum is σ = 130037177088. Its totient is φ = 11368704000.

The previous prime is 40044009413. The next prime is 40044009457. The reversal of 40044009456 is 65490044004.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40044009456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40044009457) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6109381 + ... + 6115931.

Almost surely, 2^40044009456 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 40044009456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65018588544).

40044009456 is an abundant number, since it is smaller than the sum of its proper divisors (89993167632).

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

40044009456 is a wasteful number, since it uses less digits than its factorization.

40044009456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6820 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40044009456 in words is "forty billion, forty-four million, nine thousand, four hundred fifty-six".