4218491520 has 384 divisors, whose sum is σ = 15678411840. Its totient is φ = 1041334272.

The previous prime is 4218491507. The next prime is 4218491551. The reversal of 4218491520 is 251948124.

4218491520 is a `hidden beast` number, since 42 + 1 + 8 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6560319 + ... + 6560961.

Almost surely, 2^4218491520 is an apocalyptic number.

4218491520 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 4218491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839205920).

4218491520 is an abundant number, since it is smaller than the sum of its proper divisors (11459920320).

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

4218491520 is a wasteful number, since it uses less digits than its factorization.

4218491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4218491520 is about 64949.9154733861. The cubic root of 4218491520 is about 1615.7930166556.

The spelling of 4218491520 in words is "four billion, two hundred eighteen million, four hundred ninety-one thousand, five hundred twenty".