4212510480 has 240 divisors, whose sum is σ = 14627623296. Its totient is φ = 1085736960.

The previous prime is 4212510473. The next prime is 4212510481. The reversal of 4212510480 is 840152124.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4212510481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188220 + ... + 3189540.

Almost surely, 2^4212510480 is an apocalyptic number.

4212510480 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 4212510480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7313811648).

4212510480 is an abundant number, since it is smaller than the sum of its proper divisors (10415112816).

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

4212510480 is a wasteful number, since it uses less digits than its factorization.

4212510480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4212510480 is about 64903.8556635890. The cubic root of 4212510480 is about 1615.0290236871.

The spelling of 4212510480 in words is "four billion, two hundred twelve million, five hundred ten thousand, four hundred eighty".