4237122960 has 560 divisors, whose sum is σ = 17213648256. Its totient is φ = 949542912.

The previous prime is 4237122931. The next prime is 4237123003. The reversal of 4237122960 is 692217324.

4237122960 is a `hidden beast` number, since 4 + 2 + 371 + 229 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 111 ways as a sum of consecutive naturals, for example, 39599227 + ... + 39599333.

Almost surely, 2^4237122960 is an apocalyptic number.

4237122960 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 4237122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606824128).

4237122960 is an abundant number, since it is smaller than the sum of its proper divisors (12976525296).

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

4237122960 is a wasteful number, since it uses less digits than its factorization.

4237122960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4237122960 is about 65093.1867402419. The cubic root of 4237122960 is about 1618.1683000864.

The spelling of 4237122960 in words is "four billion, two hundred thirty-seven million, one hundred twenty-two thousand, nine hundred sixty".