930106420320 has 1440 divisors, whose sum is σ = 3903037215840. Its totient is φ = 185469419520.

The previous prime is 930106420297. The next prime is 930106420333. The reversal of 930106420320 is 23024601039.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12741183804 + ... + 12741183876.

It is an arithmetic number, because the mean of its divisors is an integer number (2710442511).

Almost surely, 2^930106420320 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 930106420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951518607920).

930106420320 is an abundant number, since it is smaller than the sum of its proper divisors (2972930795520).

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

930106420320 is a wasteful number, since it uses less digits than its factorization.

930106420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 930106420320 in words is "nine hundred thirty billion, one hundred six million, four hundred twenty thousand, three hundred twenty".