4213853280 has 672 divisors, whose sum is σ = 18416752704. Its totient is φ = 886837248.

The previous prime is 4213853279. The next prime is 4213853297. The reversal of 4213853280 is 823583124.

4213853280 is a `hidden beast` number, since 42 + 1 + 3 + 8 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 111 ways as a sum of consecutive naturals, for example, 10614042 + ... + 10614438.

It is an arithmetic number, because the mean of its divisors is an integer number (27405882).

Almost surely, 2^4213853280 is an apocalyptic number.

4213853280 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 4213853280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9208376352).

4213853280 is an abundant number, since it is smaller than the sum of its proper divisors (14202899424).

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

4213853280 is a wasteful number, since it uses less digits than its factorization.

4213853280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4213853280 is about 64914.1993711699. The cubic root of 4213853280 is about 1615.2006102499.

The spelling of 4213853280 in words is "four billion, two hundred thirteen million, eight hundred fifty-three thousand, two hundred eighty".