4145214560 has 96 divisors (see below), whose sum is σ = 10243558080. Its totient is φ = 1582163968.

The previous prime is 4145214559. The next prime is 4145214611. The reversal of 4145214560 is 654125414.

4145214560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1872014 + ... + 1874226.

It is an arithmetic number, because the mean of its divisors is an integer number (106703730).

Almost surely, 2^4145214560 is an apocalyptic number.

4145214560 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 4145214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121779040).

4145214560 is an abundant number, since it is smaller than the sum of its proper divisors (6098343520).

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

4145214560 is a wasteful number, since it uses less digits than its factorization.

4145214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 4145214560 is about 64383.3407023898. The cubic root of 4145214560 is about 1606.3826505840.

Adding to 4145214560 its reverse (654125414), we get a palindrome (4799339974).

The spelling of 4145214560 in words is "four billion, one hundred forty-five million, two hundred fourteen thousand, five hundred sixty".