4217723136 has 405 divisors, whose sum is σ = 14169130129. Its totient is φ = 1246924800.

The previous prime is 4217723123. The next prime is 4217723161. The reversal of 4217723136 is 6313277124.

The square root of 4217723136 is 64944.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 4014489600 = 14256^2 + 63360^2 .

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4217723136.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 102871276 + ... + 102871316.

Almost surely, 2^4217723136 is an apocalyptic number.

4217723136 is the 64944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4217723136

4217723136 is an abundant number, since it is smaller than the sum of its proper divisors (9951406993).

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

4217723136 is an equidigital number, since it uses as much as digits as its factorization.

4217723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 57 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The cubic root of 4217723136 is about 1615.6949069495.

Multiplying 4217723136 by its sum of digits (36), we get a square (151838032896 = 389664²).

4217723136 divided by its sum of digits (36) gives a square (117158976 = 10824²).

The spelling of 4217723136 in words is "four billion, two hundred seventeen million, seven hundred twenty-three thousand, one hundred thirty-six".