4212910080 has 288 divisors, whose sum is σ = 15465832200. Its totient is φ = 1056964608.

The previous prime is 4212910061. The next prime is 4212910087. The reversal of 4212910080 is 800192124.

It can be written as a sum of positive squares in 4 ways, for example, as 2818335744 + 1394574336 = 53088^2 + 37344^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4212910080² = 35497222684331212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4212910087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1565376 + ... + 1568064.

Almost surely, 2^4212910080 is an apocalyptic number.

4212910080 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 4212910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732916100).

4212910080 is an abundant number, since it is smaller than the sum of its proper divisors (11252922120).

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

4212910080 is a wasteful number, since it uses less digits than its factorization.

4212910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4212910080 is about 64906.9339901370. The cubic root of 4212910080 is about 1615.0800894506.

The spelling of 4212910080 in words is "four billion, two hundred twelve million, nine hundred ten thousand, eighty".