4000400044000 has 96 divisors (see below), whose sum is σ = 9832174934400. Its totient is φ = 1599640358400.

The previous prime is 4000400043971. The next prime is 4000400044097. The reversal of 4000400044000 is 4400040004.

It is a super-3 number, since 3×4000400044000³ (a number of 39 digits) contains 333 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12275161 + ... + 12596839.

It is an arithmetic number, because the mean of its divisors is an integer number (102418488900).

Almost surely, 2^{4000400044000} is an apocalyptic number.

4000400044000 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 4000400044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916087467200).

4000400044000 is an abundant number, since it is smaller than the sum of its proper divisors (5831774890400).

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

4000400044000 is a wasteful number, since it uses less digits than its factorization.

4000400044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324813 (or 324795 counting only the distinct ones).

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

Adding to 4000400044000 its reverse (4400040004), we get a palindrome (4004800084004).

The spelling of 4000400044000 in words is "four trillion, four hundred million, forty-four thousand".