4775291115840 has 448 divisors, whose sum is σ = 20266069094400. Its totient is φ = 1034047752192.

The previous prime is 4775291115797. The next prime is 4775291115857. The reversal of 4775291115840 is 485111925774.

4775291115840 is a `hidden beast` number, since 4 + 7 + 7 + 52 + 9 + 1 + 1 + 1 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928684 + ... + 3226923.

Almost surely, 2^{4775291115840} is an apocalyptic number.

4775291115840 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 4775291115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133034547200).

4775291115840 is an abundant number, since it is smaller than the sum of its proper divisors (15490777978560).

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

4775291115840 is a wasteful number, since it uses less digits than its factorization.

4775291115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155659 (or 4155643 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 4775291115840 in words is "four trillion, seven hundred seventy-five billion, two hundred ninety-one million, one hundred fifteen thousand, eight hundred forty".