930023519040 has 672 divisors, whose sum is σ = 4135969603584. Its totient is φ = 193250396160.

The previous prime is 930023519039. The next prime is 930023519057. The reversal of 930023519040 is 40915320039.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 930023518986 and 930023519004.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5909857 + ... + 6065183.

It is an arithmetic number, because the mean of its divisors is an integer number (6154716672).

Almost surely, 2^930023519040 is an apocalyptic number.

930023519040 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 930023519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067984801792).

930023519040 is an abundant number, since it is smaller than the sum of its proper divisors (3205946084544).

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

930023519040 is a wasteful number, since it uses less digits than its factorization.

930023519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155377 (or 155355 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 930023519040 its reverse (40915320039), we get a palindrome (970938839079).

The spelling of 930023519040 in words is "nine hundred thirty billion, twenty-three million, five hundred nineteen thousand, forty".