4212956855520 has 576 divisors, whose sum is σ = 16551194849280. Its totient is φ = 955906043904.

The previous prime is 4212956855509. The next prime is 4212956855521. The reversal of 4212956855520 is 255586592124.

It is a happy number.

4212956855520 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 9 + 5 + 6 + 85 + 552 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212956855521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1856744946 + ... + 1856747214.

It is an arithmetic number, because the mean of its divisors is an integer number (28734713280).

Almost surely, 2^{4212956855520} is an apocalyptic number.

4212956855520 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 4212956855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275597424640).

4212956855520 is an abundant number, since it is smaller than the sum of its proper divisors (12338237993760).

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

4212956855520 is a wasteful number, since it uses less digits than its factorization.

4212956855520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 4212956855520 in words is "four trillion, two hundred twelve billion, nine hundred fifty-six million, eight hundred fifty-five thousand, five hundred twenty".