4167572416 has 56 divisors (see below), whose sum is σ = 9486611456. Its totient is φ = 1779459840.

The previous prime is 4167572411. The next prime is 4167572419. The reversal of 4167572416 is 6142757614.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167572411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104245 + ... + 138571.

It is an arithmetic number, because the mean of its divisors is an integer number (169403776).

Almost surely, 2^4167572416 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 4167572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743305728).

4167572416 is an abundant number, since it is smaller than the sum of its proper divisors (5319039040).

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

4167572416 is a wasteful number, since it uses less digits than its factorization.

4167572416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34617 (or 34607 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 4167572416 is about 64556.7379597204. The cubic root of 4167572416 is about 1609.2655647438.

The spelling of 4167572416 in words is "four billion, one hundred sixty-seven million, five hundred seventy-two thousand, four hundred sixteen".