4146365874960 has 200 divisors, whose sum is σ = 14405707457856. Its totient is φ = 1105331754240.

The previous prime is 4146365874907. The next prime is 4146365875013. The reversal of 4146365874960 is 694785636414.

4146365874960 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 3 + 6 + 587 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4146365874907) and next prime (4146365875013).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19769845 + ... + 19978475.

Almost surely, 2^{4146365874960} is an apocalyptic number.

4146365874960 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 4146365874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202853728928).

4146365874960 is an abundant number, since it is smaller than the sum of its proper divisors (10259341582896).

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

4146365874960 is a wasteful number, since it uses less digits than its factorization.

4146365874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211723 (or 211708 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4146365874960 in words is "four trillion, one hundred forty-six billion, three hundred sixty-five million, eight hundred seventy-four thousand, nine hundred sixty".