4212855360 has 840 divisors, whose sum is σ = 18163056384. Its totient is φ = 923166720.

The previous prime is 4212855343. The next prime is 4212855401. The reversal of 4212855360 is 635582124.

4212855360 is a `hidden beast` number, since 4 + 21 + 28 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372427 + ... + 39372533.

Almost surely, 2^4212855360 is an apocalyptic number.

4212855360 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 4212855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081528192).

4212855360 is an abundant number, since it is smaller than the sum of its proper divisors (13950201024).

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

4212855360 is a wasteful number, since it uses less digits than its factorization.

4212855360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4212855360 is about 64906.5124621559. The cubic root of 4212855360 is about 1615.0730968522.

The spelling of 4212855360 in words is "four billion, two hundred twelve million, eight hundred fifty-five thousand, three hundred sixty".