1004827134960 has 120 divisors (see below), whose sum is σ = 3681321259824. Its totient is φ = 243594455040.

The previous prime is 1004827134907. The next prime is 1004827135031. The reversal of 1004827134960 is 694317284001.

1004827134960 is a `hidden beast` number, since 1 + 0 + 0 + 482 + 71 + 3 + 49 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63428137 + ... + 63443976.

Almost surely, 2^{1004827134960} is an apocalyptic number.

1004827134960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004827134960 is an abundant number, since it is smaller than the sum of its proper divisors (2676494124864).

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

1004827134960 is a wasteful number, since it uses less digits than its factorization.

1004827134960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126872143 (or 126872134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1004827134960 in words is "one trillion, four billion, eight hundred twenty-seven million, one hundred thirty-four thousand, nine hundred sixty".