40440000000 has 320 divisors, whose sum is σ = 135067622976. Its totient is φ = 10752000000.

The previous prime is 40439999933. The next prime is 40440000017. The reversal of 40440000000 is 4404.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119999832 + ... + 120000168.

Almost surely, 2^40440000000 is an apocalyptic number.

40440000000 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 40440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67533811488).

40440000000 is an abundant number, since it is smaller than the sum of its proper divisors (94627622976).

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

40440000000 is an frugal number, since it uses more digits than its factorization.

40440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 40440000000 its reverse (4404), we get a palindrome (40440004404).

The spelling of 40440000000 in words is "forty billion, four hundred forty million", and thus it is an aban number.