4966161840 has 480 divisors, whose sum is σ = 18718801920. Its totient is φ = 1219857408.

The previous prime is 4966161821. The next prime is 4966161847. The reversal of 4966161840 is 481616694.

4966161840 is a `hidden beast` number, since 496 + 61 + 61 + 8 + 40 = 666.

It is a Cunningham number, because it is equal to 70471²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966161847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12966289 + ... + 12966671.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 2^4966161840 is an apocalyptic number.

4966161840 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 4966161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359400960).

4966161840 is an abundant number, since it is smaller than the sum of its proper divisors (13752640080).

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

4966161840 is a wasteful number, since it uses less digits than its factorization.

4966161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4966161840 is about 70470.9999929049. Note that the first 5 decimals coincide. The cubic root of 4966161840 is about 1706.1097157941.

The spelling of 4966161840 in words is "four billion, nine hundred sixty-six million, one hundred sixty-one thousand, eight hundred forty".