1004261566464 has 1152 divisors, whose sum is σ = 3587981080320. Its totient is φ = 277481521152.

The previous prime is 1004261566421. The next prime is 1004261566489. The reversal of 1004261566464 is 4646651624001.

1004261566464 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 26 + 1 + 566 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 2529625914 + ... + 2529626310.

It is an arithmetic number, because the mean of its divisors is an integer number (3114566910).

Almost surely, 2^{1004261566464} 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 1004261566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793990540160).

1004261566464 is an abundant number, since it is smaller than the sum of its proper divisors (2583719513856).

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

1004261566464 is a wasteful number, since it uses less digits than its factorization.

1004261566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1004261566464 in words is "one trillion, four billion, two hundred sixty-one million, five hundred sixty-six thousand, four hundred sixty-four".