1004293824660 has 432 divisors, whose sum is σ = 3764322918720. Its totient is φ = 221632346880.

The previous prime is 1004293824619. The next prime is 1004293824671. The reversal of 1004293824660 is 664283924001.

1004293824660 is a `hidden beast` number, since 100 + 4 + 2 + 9 + 3 + 82 + 466 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22230295 + ... + 22275425.

It is an arithmetic number, because the mean of its divisors is an integer number (8713710460).

Almost surely, 2^{1004293824660} is an apocalyptic number.

1004293824660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004293824660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882161459360).

1004293824660 is an abundant number, since it is smaller than the sum of its proper divisors (2760029094060).

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

1004293824660 is a wasteful number, since it uses less digits than its factorization.

1004293824660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45221 (or 45177 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1004293824660 in words is "one trillion, four billion, two hundred ninety-three million, eight hundred twenty-four thousand, six hundred sixty".