4731095040 has 384 divisors, whose sum is σ = 17690400000. Its totient is φ = 1078984704.

The previous prime is 4731095027. The next prime is 4731095051. The reversal of 4731095040 is 405901374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4731094992 and 4731095010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10536736 + ... + 10537184.

It is an arithmetic number, because the mean of its divisors is an integer number (46068750).

Almost surely, 2^4731095040 is an apocalyptic number.

4731095040 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 4731095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200000).

4731095040 is an abundant number, since it is smaller than the sum of its proper divisors (12959304960).

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

4731095040 is an equidigital number, since it uses as much as digits as its factorization.

4731095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 4731095040 is about 68782.9560283651. The cubic root of 4731095040 is about 1678.7546326051.

The spelling of 4731095040 in words is "four billion, seven hundred thirty-one million, ninety-five thousand, forty".