4121218560 has 320 divisors, whose sum is σ = 14126238720. Its totient is φ = 1021870080.

The previous prime is 4121218537. The next prime is 4121218583. The reversal of 4121218560 is 658121214.

It is an interprime number because it is at equal distance from previous prime (4121218537) and next prime (4121218583).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8900889 + ... + 8901351.

It is an arithmetic number, because the mean of its divisors is an integer number (44144496).

Almost surely, 2^4121218560 is an apocalyptic number.

4121218560 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 4121218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063119360).

4121218560 is an abundant number, since it is smaller than the sum of its proper divisors (10005020160).

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

4121218560 is a wasteful number, since it uses less digits than its factorization.

4121218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 4121218560 is about 64196.7176731023. The cubic root of 4121218560 is about 1603.2769505815.

Adding to 4121218560 its reverse (658121214), we get a palindrome (4779339774).

The spelling of 4121218560 in words is "four billion, one hundred twenty-one million, two hundred eighteen thousand, five hundred sixty".