4000004000000 has 252 divisors, whose sum is σ = 10080184331364. Its totient is φ = 1584000000000.

The previous prime is 4000003999951. The next prime is 4000004000017. The reversal of 4000004000000 is 4000004.

Added to its reverse (4000004) it gives a square (4000008000004 = 2000002²).

It is a happy number.

It is a Cunningham number, because it is equal to 2000001²-1.

It can be written as a sum of positive squares in 14 ways, for example, as 3899266318336 + 100737681664 = 1974656^2 + 317392^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 27 ways as a sum of consecutive naturals, for example, 403995050 + ... + 404004950.

Almost surely, 2^{4000004000000} is an apocalyptic number.

4000004000000 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 4000004000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040092165682).

4000004000000 is an abundant number, since it is smaller than the sum of its proper divisors (6080180331364).

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

4000004000000 is an frugal number, since it uses more digits than its factorization.

4000004000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 4000004000000 its reverse (4000004), we get a palindrome (4000008000004).

4000004000000 divided by its reverse (4000004) gives a 6-th power (1000000 = 10⁶).

The spelling of 4000004000000 in words is "four trillion, four million", and thus it is an aban number and an eban number.