930410133120 has 1024 divisors, whose sum is σ = 3627348480000. Its totient is φ = 224011173888.

The previous prime is 930410133083. The next prime is 930410133143. The reversal of 930410133120 is 21331014039.

930410133120 is a `hidden beast` number, since 9 + 304 + 1 + 0 + 1 + 331 + 20 = 666.

It is a super-2 number, since 2×930410133120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2591671501 + ... + 2591671859.

It is an arithmetic number, because the mean of its divisors is an integer number (3542332500).

Almost surely, 2^930410133120 is an apocalyptic number.

930410133120 is a gapful number since it is divisible by the number (90) 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 930410133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813674240000).

930410133120 is an abundant number, since it is smaller than the sum of its proper divisors (2696938346880).

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

930410133120 is a wasteful number, since it uses less digits than its factorization.

930410133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 930410133120 its reverse (21331014039), we get a palindrome (951741147159).

The spelling of 930410133120 in words is "nine hundred thirty billion, four hundred ten million, one hundred thirty-three thousand, one hundred twenty".