4782931655040 has 1536 divisors, whose sum is σ = 21403753113600. Its totient is φ = 954984038400.

The previous prime is 4782931655017. The next prime is 4782931655041. The reversal of 4782931655040 is 405561392874.

It is a happy number.

4782931655040 is a `hidden beast` number, since 4 + 7 + 82 + 9 + 3 + 1 + 6 + 550 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4782931655041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3099760509 + ... + 3099762051.

It is an arithmetic number, because the mean of its divisors is an integer number (13934735100).

It is a 1-persistent number, because it is pandigital, but 2⋅4782931655040 = 9565863310080 is not.

Almost surely, 2^{4782931655040} is an apocalyptic number.

4782931655040 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 4782931655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701876556800).

4782931655040 is an abundant number, since it is smaller than the sum of its proper divisors (16620821458560).

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

4782931655040 is a wasteful number, since it uses less digits than its factorization.

4782931655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4782931655040 in words is "four trillion, seven hundred eighty-two billion, nine hundred thirty-one million, six hundred fifty-five thousand, forty".