40084440000 has 280 divisors, whose sum is σ = 144581319168. Its totient is φ = 9717120000.

The previous prime is 40084439999. The next prime is 40084440023. The reversal of 40084440000 is 4448004.

It is a super-2 number, since 2×40084440000² (a number of 22 digits) contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1304817 + ... + 1335183.

Almost surely, 2^40084440000 is an apocalyptic number.

40084440000 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 40084440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72290659584).

40084440000 is an abundant number, since it is smaller than the sum of its proper divisors (104496879168).

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

40084440000 is a wasteful number, since it uses less digits than its factorization.

40084440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30413 (or 30388 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 40084440000 its reverse (4448004), we get a palindrome (40088888004).

It can be divided in two parts, 40084 and 440000, that added together give a palindrome (480084).

The spelling of 40084440000 in words is "forty billion, eighty-four million, four hundred forty thousand".