40440004404000 has 192 divisors, whose sum is σ = 136062035770752. Its totient is φ = 10492541568000.

The previous prime is 40440004403993. The next prime is 40440004404029. The reversal of 40440004404000 is 40440004404.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45096546 + ... + 45984545.

It is an arithmetic number, because the mean of its divisors is an integer number (708656436306).

Almost surely, 2^{40440004404000} is an apocalyptic number.

40440004404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40440004404000 is an abundant number, since it is smaller than the sum of its proper divisors (95622031366752).

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

40440004404000 is a wasteful number, since it uses less digits than its factorization.

40440004404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91081156 (or 91081138 counting only the distinct ones).

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

Adding to 40440004404000 its reverse (40440004404), we get a palindrome (40480444408404).

40440004404000 divided by its reverse (40440004404) gives a cube (1000 = 10³).

The spelling of 40440004404000 in words is "forty trillion, four hundred forty billion, four million, four hundred four thousand".