4004103847464 has 192 divisors, whose sum is σ = 12599909562240. Its totient is φ = 1125048545280.

The previous prime is 4004103847453. The next prime is 4004103847493. The reversal of 4004103847464 is 4647483014004.

It is a happy number.

4004103847464 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 103 + 84 + 7 + 464 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19924444 + ... + 20124404.

It is an arithmetic number, because the mean of its divisors is an integer number (65624528970).

Almost surely, 2^{4004103847464} 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 4004103847464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299954781120).

4004103847464 is an abundant number, since it is smaller than the sum of its proper divisors (8595805714776).

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

4004103847464 is a wasteful number, since it uses less digits than its factorization.

4004103847464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200640 (or 200633 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 4004103847464 in words is "four trillion, four billion, one hundred three million, eight hundred forty-seven thousand, four hundred sixty-four".