4187412771696 has 720 divisors, whose sum is σ = 15103663312608. Its totient is φ = 1070795980800.

The previous prime is 4187412771691. The next prime is 4187412771709. The reversal of 4187412771696 is 6961772147814.

4187412771696 is a `hidden beast` number, since 41 + 87 + 412 + 7 + 7 + 16 + 96 = 666.

4187412771696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4187412771691) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1376983936 + ... + 1376986976.

Almost surely, 2^{4187412771696} 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 4187412771696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7551831656304).

4187412771696 is an abundant number, since it is smaller than the sum of its proper divisors (10916250540912).

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

4187412771696 is a wasteful number, since it uses less digits than its factorization.

4187412771696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3334 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 4187412771696 in words is "four trillion, one hundred eighty-seven billion, four hundred twelve million, seven hundred seventy-one thousand, six hundred ninety-six".