4590134640000 has 2880 divisors, whose sum is σ = 21695780003040. Its totient is φ = 908623872000.

The previous prime is 4590134639873. The next prime is 4590134640011. The reversal of 4590134640000 is 464310954.

4590134640000 is a `hidden beast` number, since 4 + 5 + 9 + 0 + 1 + 3 + 4 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14479919842 + ... + 14479920158.

Almost surely, 2^{4590134640000} is an apocalyptic number.

4590134640000 is a gapful number since it is divisible by the number (40) 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 4590134640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847890001520).

4590134640000 is an abundant number, since it is smaller than the sum of its proper divisors (17105645363040).

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

4590134640000 is a wasteful number, since it uses less digits than its factorization.

4590134640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 4590134640000 its reverse (464310954), we get a palindrome (4590598950954).

The spelling of 4590134640000 in words is "four trillion, five hundred ninety billion, one hundred thirty-four million, six hundred forty thousand".