4000004040000 has 280 divisors, whose sum is σ = 13304204641728. Its totient is φ = 1060275200000.

The previous prime is 4000004039987. The next prime is 4000004040001. The reversal of 4000004040000 is 404000004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

4000004040000 is a modest number, since divided by 4040000 gives 40000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000004040001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 19940200 + ... + 20139800.

Almost surely, 2^{4000004040000} is an apocalyptic number.

4000004040000 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 4000004040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652102320864).

4000004040000 is an abundant number, since it is smaller than the sum of its proper divisors (9304200601728).

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

4000004040000 is a wasteful number, since it uses less digits than its factorization.

4000004040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199803 (or 199778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 4000004040000 its reverse (404000004), we get a palindrome (4000408040004).

The spelling of 4000004040000 in words is "four trillion, four million, forty thousand", and thus it is an eban number.