40040004400000 has 384 divisors, whose sum is σ = 109174051476000. Its totient is φ = 14505446400000.

The previous prime is 40040004399979. The next prime is 40040004400051. The reversal of 40040004400000 is 440004004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1183583086 + ... + 1183616914.

Almost surely, 2^{40040004400000} is an apocalyptic number.

40040004400000 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 40040004400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54587025738000).

40040004400000 is an abundant number, since it is smaller than the sum of its proper divisors (69134047076000).

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

40040004400000 is an equidigital number, since it uses as much as digits as its factorization.

40040004400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34148 (or 34116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 40040004400000 its reverse (440004004), we get a palindrome (40040444404004).

The spelling of 40040004400000 in words is "forty trillion, forty billion, four million, four hundred thousand".