4785023683440 has 1440 divisors, whose sum is σ = 23117720371200. Its totient is φ = 869483704320.

The previous prime is 4785023683439. The next prime is 4785023683469. The reversal of 4785023683440 is 443863205874.

4785023683440 is a `hidden beast` number, since 4 + 7 + 8 + 502 + 3 + 68 + 34 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 95830801 + ... + 95880719.

It is an arithmetic number, because the mean of its divisors is an integer number (16053972480).

Almost surely, 2^{4785023683440} is an apocalyptic number.

4785023683440 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 4785023683440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11558860185600).

4785023683440 is an abundant number, since it is smaller than the sum of its proper divisors (18332696687760).

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

4785023683440 is a wasteful number, since it uses less digits than its factorization.

4785023683440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49995 (or 49979 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4785023683440 in words is "four trillion, seven hundred eighty-five billion, twenty-three million, six hundred eighty-three thousand, four hundred forty".