4004456026200 has 384 divisors, whose sum is σ = 14368330368000. Its totient is φ = 903693588480.

The previous prime is 4004456026199. The next prime is 4004456026217. The reversal of 4004456026200 is 26206544004.

It is a congruent number.

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, 104489442 + ... + 104527758.

It is an arithmetic number, because the mean of its divisors is an integer number (37417527000).

Almost surely, 2^{4004456026200} is an apocalyptic number.

4004456026200 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 4004456026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184165184000).

4004456026200 is an abundant number, since it is smaller than the sum of its proper divisors (10363874341800).

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

4004456026200 is a wasteful number, since it uses less digits than its factorization.

4004456026200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38659 (or 38650 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 4004456026200 in words is "four trillion, four billion, four hundred fifty-six million, twenty-six thousand, two hundred".