4132485216 has 108 divisors (see below), whose sum is σ = 12203745372. Its totient is φ = 1377495072.

The previous prime is 4132485197. The next prime is 4132485289. The reversal of 4132485216 is 6125842314.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4132485216 is a `hidden beast` number, since 41 + 324 + 85 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1377495071 + 1377495072 + 1377495073.

Almost surely, 2^4132485216 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 4132485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101872686).

4132485216 is an abundant number, since it is smaller than the sum of its proper divisors (8071260156).

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

4132485216 is an frugal number, since it uses more digits than its factorization.

4132485216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 5 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4132485216 is about 64284.4088096017. The cubic root of 4132485216 is about 1604.7366429628.

4132485216 divided by its sum of digits (36) gives a cube (114791256 = 486³).

The spelling of 4132485216 in words is "four billion, one hundred thirty-two million, four hundred eighty-five thousand, two hundred sixteen".