4130220214080 has 224 divisors, whose sum is σ = 15427587818880. Its totient is φ = 1036604252160.

The previous prime is 4130220214067. The next prime is 4130220214207. The reversal of 4130220214080 is 804120220314.

4130220214080 is a `hidden beast` number, since 4 + 1 + 30 + 220 + 2 + 1 + 408 + 0 = 666.

It is a super-3 number, since 3×4130220214080³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13912966 + ... + 14206725.

Almost surely, 2^{4130220214080} is an apocalyptic number.

4130220214080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130220214080 is an abundant number, since it is smaller than the sum of its proper divisors (11297367604800).

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

4130220214080 is a wasteful number, since it uses less digits than its factorization.

4130220214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28119734 (or 28119718 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4130220214080 its reverse (804120220314), we get a palindrome (4934340434394).

The spelling of 4130220214080 in words is "four trillion, one hundred thirty billion, two hundred twenty million, two hundred fourteen thousand, eighty".