4912950980160 has 336 divisors, whose sum is σ = 17916181715952. Its totient is φ = 1231424716800.

The previous prime is 4912950980053. The next prime is 4912950980227. The reversal of 4912950980160 is 610890592194.

4912950980160 is a `hidden beast` number, since 4 + 9 + 129 + 509 + 8 + 0 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1491368518656 + 3421582461504 = 1221216^2 + 1849752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4912950980097 and 4912950980106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37192630 + ... + 37324490.

Almost surely, 2^{4912950980160} is an apocalyptic number.

4912950980160 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 4912950980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8958090857976).

4912950980160 is an abundant number, since it is smaller than the sum of its proper divisors (13003230735792).

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

4912950980160 is a wasteful number, since it uses less digits than its factorization.

4912950980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132662 (or 132649 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 4912950980160 in words is "four trillion, nine hundred twelve billion, nine hundred fifty million, nine hundred eighty thousand, one hundred sixty".