4590141696 has 432 divisors, whose sum is σ = 15999320064. Its totient is φ = 1285466112.

The previous prime is 4590141679. The next prime is 4590141737. The reversal of 4590141696 is 6961410954.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36142785 + ... + 36142911.

Almost surely, 2^4590141696 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 4590141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999660032).

4590141696 is an abundant number, since it is smaller than the sum of its proper divisors (11409178368).

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

4590141696 is an equidigital number, since it uses as much as digits as its factorization.

4590141696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4590141696 is about 67750.5844698037. The cubic root of 4590141696 is about 1661.9145781013.

The spelling of 4590141696 in words is "four billion, five hundred ninety million, one hundred forty-one thousand, six hundred ninety-six".