4590960050000 has 180 divisors, whose sum is σ = 11230436620116. Its totient is φ = 1818000000000.

The previous prime is 4590960049979. The next prime is 4590960050003. The reversal of 4590960050000 is 500690954.

It can be written as a sum of positive squares in 18 ways, for example, as 4576330663696 + 14629386304 = 2139236^2 + 120952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4590960050003) 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, 510045500 + ... + 510054500.

Almost surely, 2^{4590960050000} is an apocalyptic number.

4590960050000 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 4590960050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615218310058).

4590960050000 is an abundant number, since it is smaller than the sum of its proper divisors (6639476570116).

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

4590960050000 is an frugal number, since it uses more digits than its factorization.

4590960050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9236 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 4590960050000 in words is "four trillion, five hundred ninety billion, nine hundred sixty million, fifty thousand".