4961692108800 has 576 divisors, whose sum is σ = 20828810620800. Its totient is φ = 1134098841600.

The previous prime is 4961692108799. The next prime is 4961692108853. The reversal of 4961692108800 is 88012961694.

4961692108800 is a `hidden beast` number, since 4 + 9 + 616 + 9 + 2 + 10 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 9420430 + ... + 9933170.

It is an arithmetic number, because the mean of its divisors is an integer number (36161129550).

Almost surely, 2^{4961692108800} is an apocalyptic number.

4961692108800 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 4961692108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414405310400).

4961692108800 is an abundant number, since it is smaller than the sum of its proper divisors (15867118512000).

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

4961692108800 is a wasteful number, since it uses less digits than its factorization.

4961692108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512789 (or 512758 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4961692108800 in words is "four trillion, nine hundred sixty-one billion, six hundred ninety-two million, one hundred eight thousand, eight hundred".