4218702480 has 320 divisors, whose sum is σ = 15167243520. Its totient is φ = 1076834304.

The previous prime is 4218702479. The next prime is 4218702493. The reversal of 4218702480 is 842078124.

4218702480 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 super-2 number, since 2×4218702480² = 35594901229516300800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4922212 + ... + 4923068.

It is an arithmetic number, because the mean of its divisors is an integer number (47397636).

Almost surely, 2^4218702480 is an apocalyptic number.

4218702480 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 4218702480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583621760).

4218702480 is an abundant number, since it is smaller than the sum of its proper divisors (10948541040).

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

4218702480 is a wasteful number, since it uses less digits than its factorization.

4218702480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4218702480 is about 64951.5394736722. The cubic root of 4218702480 is about 1615.8199506130.

The spelling of 4218702480 in words is "four billion, two hundred eighteen million, seven hundred two thousand, four hundred eighty".