4122337536 has 288 divisors, whose sum is σ = 12738208000. Its totient is φ = 1330255872.

The previous prime is 4122337517. The next prime is 4122337537. The reversal of 4122337536 is 6357332214.

4122337536 is a `hidden beast` number, since 412 + 233 + 7 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4122337536.

It is not an unprimeable number, because it can be changed into a prime (4122337537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20715165 + ... + 20715363.

Almost surely, 2^4122337536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122337536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6369104000).

4122337536 is an abundant number, since it is smaller than the sum of its proper divisors (8615870464).

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

4122337536 is an frugal number, since it uses more digits than its factorization.

4122337536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 241 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 4122337536 is about 64205.4322935373. The cubic root of 4122337536 is about 1603.4220424646.

The spelling of 4122337536 in words is "four billion, one hundred twenty-two million, three hundred thirty-seven thousand, five hundred thirty-six".