4145768476416 has 1152 divisors, whose sum is σ = 15082038272000. Its totient is φ = 1097098297344.

The previous prime is 4145768476403. The next prime is 4145768476427. The reversal of 4145768476416 is 6146748675414.

4145768476416 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 76 + 84 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10938702915 + ... + 10938703293.

Almost surely, 2^{4145768476416} 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 4145768476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541019136000).

4145768476416 is an abundant number, since it is smaller than the sum of its proper divisors (10936269795584).

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

4145768476416 is a wasteful number, since it uses less digits than its factorization.

4145768476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 4145768476416 in words is "four trillion, one hundred forty-five billion, seven hundred sixty-eight million, four hundred seventy-six thousand, four hundred sixteen".