4811606947840 has 1152 divisors, whose sum is σ = 15827105548800. Its totient is φ = 1383990558720.

The previous prime is 4811606947831. The next prime is 4811606947853. The reversal of 4811606947840 is 487496061184.

It is a super-2 number, since 2×4811606947840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3681412467 + ... + 3681413773.

It is an arithmetic number, because the mean of its divisors is an integer number (13738806900).

Almost surely, 2^{4811606947840} is an apocalyptic number.

4811606947840 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 4811606947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913552774400).

4811606947840 is an abundant number, since it is smaller than the sum of its proper divisors (11015498600960).

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

4811606947840 is a wasteful number, since it uses less digits than its factorization.

4811606947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 4811606947840 in words is "four trillion, eight hundred eleven billion, six hundred six million, nine hundred forty-seven thousand, eight hundred forty".