40044044400000 has 384 divisors, whose sum is σ = 134321243202720. Its totient is φ = 10568294400000.

The previous prime is 40044044399981. The next prime is 40044044400053. The reversal of 40044044400000 is 444044004.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116227990 + ... + 116572010.

Almost surely, 2^{40044044400000} is an apocalyptic number.

40044044400000 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 40044044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67160621601360).

40044044400000 is an abundant number, since it is smaller than the sum of its proper divisors (94277198802720).

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

40044044400000 is an frugal number, since it uses more digits than its factorization.

40044044400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344160 (or 344128 counting only the distinct ones).

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

Adding to 40044044400000 its reverse (444044004), we get a palindrome (40044488444004).

The spelling of 40044044400000 in words is "forty trillion, forty-four billion, forty-four million, four hundred thousand".