4930023828240 has 1280 divisors, whose sum is σ = 20032717824000. Its totient is φ = 1091357245440.

The previous prime is 4930023828239. The next prime is 4930023828253. The reversal of 4930023828240 is 428283200394.

4930023828240 is a `hidden beast` number, since 4 + 9 + 300 + 23 + 8 + 282 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23365041735 + ... + 23365041945.

It is an arithmetic number, because the mean of its divisors is an integer number (15650560800).

Almost surely, 2^{4930023828240} is an apocalyptic number.

4930023828240 is a gapful number since it is divisible by the number (40) 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 4930023828240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016358912000).

4930023828240 is an abundant number, since it is smaller than the sum of its proper divisors (15102693995760).

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

4930023828240 is a wasteful number, since it uses less digits than its factorization.

4930023828240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4930023828240 in words is "four trillion, nine hundred thirty billion, twenty-three million, eight hundred twenty-eight thousand, two hundred forty".