4862113041600 has 2688 divisors, whose sum is σ = 20572683264000. Its totient is φ = 1110261841920.

The previous prime is 4862113041587. The next prime is 4862113041637. The reversal of 4862113041600 is 61403112684.

4862113041600 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 1 + 1 + 3 + 0 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 45440308747 + ... + 45440308853.

It is an arithmetic number, because the mean of its divisors is an integer number (7653528000).

Almost surely, 2^{4862113041600} is an apocalyptic number.

4862113041600 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 4862113041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286341632000).

4862113041600 is an abundant number, since it is smaller than the sum of its proper divisors (15710570222400).

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

4862113041600 is a wasteful number, since it uses less digits than its factorization.

4862113041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4862113041600 in words is "four trillion, eight hundred sixty-two billion, one hundred thirteen million, forty-one thousand, six hundred".