1004210413920 has 1728 divisors, whose sum is σ = 4404126504960. Its totient is φ = 206928691200.

The previous prime is 1004210413873. The next prime is 1004210414003. The reversal of 1004210413920 is 293140124001.

It is a happy number.

1004210413920 is a `hidden beast` number, since 10 + 0 + 4 + 210 + 413 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3033868155 + ... + 3033868485.

It is an arithmetic number, because the mean of its divisors is an integer number (2548684320).

Almost surely, 2^{1004210413920} is an apocalyptic number.

1004210413920 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 1004210413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202063252480).

1004210413920 is an abundant number, since it is smaller than the sum of its proper divisors (3399916091040).

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

1004210413920 is a wasteful number, since it uses less digits than its factorization.

1004210413920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1004210413920 its reverse (293140124001), we get a palindrome (1297350537921).

The spelling of 1004210413920 in words is "one trillion, four billion, two hundred ten million, four hundred thirteen thousand, nine hundred twenty".