4136116482432 has 384 divisors, whose sum is σ = 13163851209600. Its totient is φ = 1236072775680.

The previous prime is 4136116482419. The next prime is 4136116482521. The reversal of 4136116482432 is 2342846116314.

4136116482432 is a `hidden beast` number, since 4 + 1 + 3 + 611 + 6 + 4 + 8 + 24 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a zygodrome in base 2.

It is a congruent number.

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, 651046168 + ... + 651052520.

It is an arithmetic number, because the mean of its divisors is an integer number (34280862525).

Almost surely, 2^{4136116482432} 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 4136116482432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581925604800).

4136116482432 is an abundant number, since it is smaller than the sum of its proper divisors (9027734727168).

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

4136116482432 is a wasteful number, since it uses less digits than its factorization.

4136116482432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7086 (or 7071 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 4136116482432 in words is "four trillion, one hundred thirty-six billion, one hundred sixteen million, four hundred eighty-two thousand, four hundred thirty-two".