10384930321920 has 1600 divisors, whose sum is σ = 47871865147392. Its totient is φ = 2088198144000.

The previous prime is 10384930321873. The next prime is 10384930321921. The reversal of 10384930321920 is 2912303948301.

10384930321920 is a `hidden beast` number, since 1 + 0 + 384 + 9 + 30 + 3 + 219 + 20 = 666.

It is a super-2 number, since 2×10384930321920² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384930321921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494957830 + ... + 494978810.

Almost surely, 2^{10384930321920} is an apocalyptic number.

10384930321920 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 10384930321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23935932573696).

10384930321920 is an abundant number, since it is smaller than the sum of its proper divisors (37486934825472).

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

10384930321920 is a wasteful number, since it uses less digits than its factorization.

10384930321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21065 (or 21040 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10384930321920 in words is "ten trillion, three hundred eighty-four billion, nine hundred thirty million, three hundred twenty-one thousand, nine hundred twenty".