4214570379264 has 768 divisors, whose sum is σ = 14502039552000. Its totient is φ = 1184599572480.

The previous prime is 4214570379191. The next prime is 4214570379323. The reversal of 4214570379264 is 4629730754124.

4214570379264 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 5 + 7 + 0 + 379 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4214570379264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8058451707 + ... + 8058452229.

It is an arithmetic number, because the mean of its divisors is an integer number (18882864000).

Almost surely, 2^{4214570379264} 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 4214570379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251019776000).

4214570379264 is an abundant number, since it is smaller than the sum of its proper divisors (10287469172736).

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

4214570379264 is a wasteful number, since it uses less digits than its factorization.

4214570379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4214570379264 in words is "four trillion, two hundred fourteen billion, five hundred seventy million, three hundred seventy-nine thousand, two hundred sixty-four".