4040000400000 has 768 divisors, whose sum is σ = 14503790448000. Its totient is φ = 992839680000.

The previous prime is 4040000399989. The next prime is 4040000400071. The reversal of 4040000400000 is 40000404.

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.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 843597606 + ... + 843602394.

Almost surely, 2^{4040000400000} is an apocalyptic number.

4040000400000 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 4040000400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251895224000).

4040000400000 is an abundant number, since it is smaller than the sum of its proper divisors (10463790048000).

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

4040000400000 is an equidigital number, since it uses as much as digits as its factorization.

4040000400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4855 counting only the distinct ones).

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

Adding to 4040000400000 its reverse (40000404), we get a palindrome (4040040400404).

The spelling of 4040000400000 in words is "four trillion, forty billion, four hundred thousand".