44444040404400 has 2160 divisors, whose sum is σ = 204566632897536. Its totient is φ = 8726369034240.

The previous prime is 44444040404371. The next prime is 44444040404417. The reversal of 44444040404400 is 440404044444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3624232669 + ... + 3624244931.

Almost surely, 2^{44444040404400} is an apocalyptic number.

44444040404400 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 44444040404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102283316448768).

44444040404400 is an abundant number, since it is smaller than the sum of its proper divisors (160122592493136).

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

44444040404400 is a wasteful number, since it uses less digits than its factorization.

44444040404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 44444040404400 its reverse (440404044444), we get a palindrome (44884444448844).

The spelling of 44444040404400 in words is "forty-four trillion, four hundred forty-four billion, forty million, four hundred four thousand, four hundred".