4791042432 has 576 divisors, whose sum is σ = 16789281600. Its totient is φ = 1354890240.

The previous prime is 4791042427. The next prime is 4791042437. The reversal of 4791042432 is 2342401974.

It is an interprime number because it is at equal distance from previous prime (4791042427) and next prime (4791042437).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791042437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71508063 + ... + 71508129.

Almost surely, 2^4791042432 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 4791042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394640800).

4791042432 is an abundant number, since it is smaller than the sum of its proper divisors (11998239168).

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

4791042432 is a wasteful number, since it uses less digits than its factorization.

4791042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4791042432 is about 69217.3564360847. The cubic root of 4791042432 is about 1685.8153569910.

The spelling of 4791042432 in words is "four billion, seven hundred ninety-one million, forty-two thousand, four hundred thirty-two".