4214052864 has 480 divisors, whose sum is σ = 15221606400. Its totient is φ = 1134673920.

The previous prime is 4214052833. The next prime is 4214052881. The reversal of 4214052864 is 4682504124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 22063009 + ... + 22063199.

It is an arithmetic number, because the mean of its divisors is an integer number (31711680).

Almost surely, 2^4214052864 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 4214052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610803200).

4214052864 is an abundant number, since it is smaller than the sum of its proper divisors (11007553536).

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

4214052864 is a wasteful number, since it uses less digits than its factorization.

4214052864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4214052864 is about 64915.7366437446. The cubic root of 4214052864 is about 1615.2261105136.

Adding to 4214052864 its reverse (4682504124), we get a palindrome (8896556988).

The spelling of 4214052864 in words is "four billion, two hundred fourteen million, fifty-two thousand, eight hundred sixty-four".