4042991232 has 384 divisors, whose sum is σ = 14257152000. Its totient is φ = 1116011520.

The previous prime is 4042991219. The next prime is 4042991233. The reversal of 4042991232 is 2321992404.

It is a tau number, because it is divible by the number of its divisors (384).

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 (4042991233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6749269 + ... + 6749867.

It is an arithmetic number, because the mean of its divisors is an integer number (37128000).

Almost surely, 2^4042991232 is an apocalyptic number.

4042991232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576000).

4042991232 is an abundant number, since it is smaller than the sum of its proper divisors (10214160768).

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

4042991232 is an equidigital number, since it uses as much as digits as its factorization.

4042991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4042991232 is about 63584.5203803567. The cubic root of 4042991232 is about 1593.0678256416.

The spelling of 4042991232 in words is "four billion, forty-two million, nine hundred ninety-one thousand, two hundred thirty-two".