4220536320 has 1280 divisors, whose sum is σ = 20458690560. Its totient is φ = 796262400.

The previous prime is 4220536277. The next prime is 4220536321. The reversal of 4220536320 is 236350224.

4220536320 is a `hidden beast` number, since 4 + 2 + 20 + 5 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220536321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69189090 + ... + 69189150.

It is an arithmetic number, because the mean of its divisors is an integer number (15983352).

Almost surely, 2^4220536320 is an apocalyptic number.

4220536320 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 4220536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229345280).

4220536320 is an abundant number, since it is smaller than the sum of its proper divisors (16238154240).

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

4220536320 is a wasteful number, since it uses less digits than its factorization.

4220536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4220536320 is about 64965.6549262762. The cubic root of 4220536320 is about 1616.0540451814.

Adding to 4220536320 its reverse (236350224), we get a palindrome (4456886544).

The spelling of 4220536320 in words is "four billion, two hundred twenty million, five hundred thirty-six thousand, three hundred twenty".