1004934682224 has 120 divisors (see below), whose sum is σ = 3072740836464. Its totient is φ = 304064640000.

The previous prime is 1004934682223. The next prime is 1004934682231. The reversal of 1004934682224 is 4222864394001.

1004934682224 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 346 + 82 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1004934682224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004934682223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567124 + ... + 1526924.

Almost surely, 2^{1004934682224} 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 1004934682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536370418232).

1004934682224 is an abundant number, since it is smaller than the sum of its proper divisors (2067806154240).

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

1004934682224 is a wasteful number, since it uses less digits than its factorization.

1004934682224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960487 (or 960478 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1004934682224 in words is "one trillion, four billion, nine hundred thirty-four million, six hundred eighty-two thousand, two hundred twenty-four".