4004410336000 has 144 divisors (see below), whose sum is σ = 10163707733088. Its totient is φ = 1571541504000.

The previous prime is 4004410335973. The next prime is 4004410336127. The reversal of 4004410336000 is 6330144004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515455 + ... + 2876545.

It is an arithmetic number, because the mean of its divisors is an integer number (70581303702).

Almost surely, 2^{4004410336000} is an apocalyptic number.

4004410336000 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 4004410336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081853866544).

4004410336000 is an abundant number, since it is smaller than the sum of its proper divisors (6159297397088).

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

4004410336000 is an equidigital number, since it uses as much as digits as its factorization.

4004410336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361175 (or 2361151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The spelling of 4004410336000 in words is "four trillion, four billion, four hundred ten million, three hundred thirty-six thousand".