40044400000 has 384 divisors, whose sum is σ = 114742656000. Its totient is φ = 13766400000.

The previous prime is 40044399971. The next prime is 40044400007. The reversal of 40044400000 is 444004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40044400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83599761 + ... + 83600239.

It is an arithmetic number, because the mean of its divisors is an integer number (298809000).

Almost surely, 2^40044400000 is an apocalyptic number.

40044400000 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 40044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57371328000).

40044400000 is an abundant number, since it is smaller than the sum of its proper divisors (74698256000).

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

40044400000 is an equidigital number, since it uses as much as digits as its factorization.

40044400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

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

Adding to 40044400000 its reverse (444004), we get a palindrome (40044844004).

It can be divided in two parts, 40044 and 400000, that added together give a palindrome (440044).

The spelling of 40044400000 in words is "forty billion, forty-four million, four hundred thousand".