4006404000000 has 756 divisors, whose sum is σ = 14585869157860. Its totient is φ = 1057536000000.

The previous prime is 4006403999989. The next prime is 4006404000097. The reversal of 4006404000000 is 4046004.

It can be written as a sum of positive squares in 14 ways, for example, as 3693591984384 + 312812015616 = 1921872^2 + 559296^2 .

It is a super-2 number, since 2×4006404000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3923999490 + ... + 3924000510.

Almost surely, 2^{4006404000000} is an apocalyptic number.

4006404000000 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 4006404000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292934578930).

4006404000000 is an abundant number, since it is smaller than the sum of its proper divisors (10579465157860).

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

4006404000000 is an equidigital number, since it uses as much as digits as its factorization.

4006404000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4006404000000 its reverse (4046004), we get a palindrome (4006408046004).

The spelling of 4006404000000 in words is "four trillion, six billion, four hundred four million", and thus it is an aban number.