4642601591232 has 252 divisors, whose sum is σ = 14983662334368. Its totient is φ = 1372534732800.

The previous prime is 4642601591203. The next prime is 4642601591237. The reversal of 4642601591232 is 2321951062464.

4642601591232 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 601 + 5 + 9 + 1 + 2 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642601591237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2045193 + ... + 3669879.

Almost surely, 2^{4642601591232} 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 4642601591232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491831167184).

4642601591232 is an abundant number, since it is smaller than the sum of its proper divisors (10341060743136).

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

4642601591232 is a wasteful number, since it uses less digits than its factorization.

4642601591232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624768 (or 1624744 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4642601591232 in words is "four trillion, six hundred forty-two billion, six hundred one million, five hundred ninety-one thousand, two hundred thirty-two".