4004091364448 has 192 divisors, whose sum is σ = 9622213751808. Its totient is φ = 1601084620800.

The previous prime is 4004091364433. The next prime is 4004091364451. The reversal of 4004091364448 is 8444631904004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248894261 + ... + 248910347.

It is an arithmetic number, because the mean of its divisors is an integer number (50115696624).

Almost surely, 2^{4004091364448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004091364448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811106875904).

4004091364448 is an abundant number, since it is smaller than the sum of its proper divisors (5618122387360).

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

4004091364448 is a wasteful number, since it uses less digits than its factorization.

4004091364448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16677 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 4004091364448 in words is "four trillion, four billion, ninety-one million, three hundred sixty-four thousand, four hundred forty-eight".