4220146560 has 384 divisors, whose sum is σ = 16163850240. Its totient is φ = 932843520.

The previous prime is 4220146547. The next prime is 4220146573. The reversal of 4220146560 is 656410224.

It is an interprime number because it is at equal distance from previous prime (4220146547) and next prime (4220146573).

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 (30).

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, 2915757 + ... + 2917203.

It is an arithmetic number, because the mean of its divisors is an integer number (42093360).

Almost surely, 2^4220146560 is an apocalyptic number.

4220146560 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 4220146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081925120).

4220146560 is an abundant number, since it is smaller than the sum of its proper divisors (11943703680).

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

4220146560 is a wasteful number, since it uses less digits than its factorization.

4220146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4220146560 is about 64962.6551181523. The cubic root of 4220146560 is about 1616.0042969529.

Adding to 4220146560 its reverse (656410224), we get a palindrome (4876556784).

The spelling of 4220146560 in words is "four billion, two hundred twenty million, one hundred forty-six thousand, five hundred sixty".