4214163499920 has 360 divisors, whose sum is σ = 15560734757568. Its totient is φ = 1021312765440.

The previous prime is 4214163499907. The next prime is 4214163499927. The reversal of 4214163499920 is 299943614124.

4214163499920 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 1 + 63 + 499 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (4214163499927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474189717 + ... + 474198603.

Almost surely, 2^{4214163499920} is an apocalyptic number.

4214163499920 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 4214163499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780367378784).

4214163499920 is an abundant number, since it is smaller than the sum of its proper divisors (11346571257648).

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

4214163499920 is a wasteful number, since it uses less digits than its factorization.

4214163499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14371 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 4214163499920 in words is "four trillion, two hundred fourteen billion, one hundred sixty-three million, four hundred ninety-nine thousand, nine hundred twenty".