4122562320 has 240 divisors, whose sum is σ = 14540497920. Its totient is φ = 1044747264.

The previous prime is 4122562313. The next prime is 4122562351. The reversal of 4122562320 is 232652214.

It is a happy number.

4122562320 is a `hidden beast` number, since 4 + 12 + 2 + 5 + 623 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2864161 + ... + 2865599.

It is an arithmetic number, because the mean of its divisors is an integer number (60585408).

Almost surely, 2^4122562320 is an apocalyptic number.

4122562320 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 4122562320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270248960).

4122562320 is an abundant number, since it is smaller than the sum of its proper divisors (10417935600).

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

4122562320 is a wasteful number, since it uses less digits than its factorization.

4122562320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4122562320 is about 64207.1827757612. The cubic root of 4122562320 is about 1603.4511858868.

The spelling of 4122562320 in words is "four billion, one hundred twenty-two million, five hundred sixty-two thousand, three hundred twenty".