4792541436 has 54 divisors (see below), whose sum is σ = 12402936000. Its totient is φ = 1560340656.

The previous prime is 4792541407. The next prime is 4792541459. The reversal of 4792541436 is 6341452974.

4792541436 is a `hidden beast` number, since 4 + 79 + 2 + 541 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4792541391 and 4792541400.

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, 30565 + ... + 102563.

It is an arithmetic number, because the mean of its divisors is an integer number (229684000).

Almost surely, 2^4792541436 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 4792541436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201468000).

4792541436 is an abundant number, since it is smaller than the sum of its proper divisors (7610394564).

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

4792541436 is a wasteful number, since it uses less digits than its factorization.

4792541436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72095 (or 72047 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4792541436 is about 69228.1838271090. The cubic root of 4792541436 is about 1685.9911559251.

It can be divided in two parts, 479254 and 1436, that added together give a triangular number (480690 = T₉₈₀).

The spelling of 4792541436 in words is "four billion, seven hundred ninety-two million, five hundred forty-one thousand, four hundred thirty-six".