4200481193616 has 120 divisors (see below), whose sum is σ = 11987968408416. Its totient is φ = 1372731010560.

The previous prime is 4200481193611. The next prime is 4200481193627. The reversal of 4200481193616 is 6163911840024.

4200481193616 is a `hidden beast` number, since 4 + 20 + 0 + 4 + 8 + 1 + 1 + 9 + 3 + 616 = 666.

It is not an unprimeable number, because it can be changed into a prime (4200481193611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224316 + ... + 2907108.

Almost surely, 2^{4200481193616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200481193616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993984204208).

4200481193616 is an abundant number, since it is smaller than the sum of its proper divisors (7787487214800).

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

4200481193616 is a wasteful number, since it uses less digits than its factorization.

4200481193616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683021 (or 2683012 counting only the distinct ones).

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

The spelling of 4200481193616 in words is "four trillion, two hundred billion, four hundred eighty-one million, one hundred ninety-three thousand, six hundred sixteen".