4092541632 has 224 divisors, whose sum is σ = 13076326400. Its totient is φ = 1250380800.

The previous prime is 4092541627. The next prime is 4092541633. The reversal of 4092541632 is 2361452904.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4092541633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015782 + ... + 1019802.

Almost surely, 2^4092541632 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 4092541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538163200).

4092541632 is an abundant number, since it is smaller than the sum of its proper divisors (8983784768).

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

4092541632 is a wasteful number, since it uses less digits than its factorization.

4092541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4092541632 is about 63972.9757944712. The cubic root of 4092541632 is about 1599.5495648712.

The spelling of 4092541632 in words is "four billion, ninety-two million, five hundred forty-one thousand, six hundred thirty-two".