4724056895040 has 336 divisors, whose sum is σ = 18573840659712. Its totient is φ = 1079563603968.

The previous prime is 4724056895027. The next prime is 4724056895099. The reversal of 4724056895040 is 405986504274.

4724056895040 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 0 + 56 + 89 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111403122 + ... + 111445518.

Almost surely, 2^{4724056895040} is an apocalyptic number.

4724056895040 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 4724056895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286920329856).

4724056895040 is an abundant number, since it is smaller than the sum of its proper divisors (13849783764672).

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

4724056895040 is a wasteful number, since it uses less digits than its factorization.

4724056895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47954 (or 47941 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4724056895040 in words is "four trillion, seven hundred twenty-four billion, fifty-six million, eight hundred ninety-five thousand, forty".