4214893680 has 120 divisors (see below), whose sum is σ = 14177565792. Its totient is φ = 1122181632.

The previous prime is 4214893679. The next prime is 4214893693. The reversal of 4214893680 is 863984124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483117 + ... + 491763.

Almost surely, 2^4214893680 is an apocalyptic number.

4214893680 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 4214893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088782896).

4214893680 is an abundant number, since it is smaller than the sum of its proper divisors (9962672112).

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

4214893680 is a wasteful number, since it uses less digits than its factorization.

4214893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9343 (or 9334 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4214893680 is about 64922.2125316136. The cubic root of 4214893680 is about 1615.3335302736. Note that the first 3 decimals are identical.

The spelling of 4214893680 in words is "four billion, two hundred fourteen million, eight hundred ninety-three thousand, six hundred eighty".