4212542880 has 1152 divisors, whose sum is σ = 19654742016. Its totient is φ = 796262400.

The previous prime is 4212542779. The next prime is 4212542881. The reversal of 4212542880 is 882452124.

4212542880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4212542881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69058050 + ... + 69058110.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^4212542880 is an apocalyptic number.

4212542880 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 4212542880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827371008).

4212542880 is an abundant number, since it is smaller than the sum of its proper divisors (15442199136).

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

4212542880 is a wasteful number, since it uses less digits than its factorization.

4212542880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4212542880 is about 64904.1052630725. The cubic root of 4212542880 is about 1615.0331642747.

The spelling of 4212542880 in words is "four billion, two hundred twelve million, five hundred forty-two thousand, eight hundred eighty".