4500917300880 has 2880 divisors, whose sum is σ = 21872920043520. Its totient is φ = 813664051200.

The previous prime is 4500917300837. The next prime is 4500917300897. The reversal of 4500917300880 is 880037190054.

4500917300880 is a `hidden beast` number, since 450 + 0 + 91 + 7 + 30 + 0 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9166837435 + ... + 9166837925.

It is an arithmetic number, because the mean of its divisors is an integer number (7594763904).

Almost surely, 2^{4500917300880} is an apocalyptic number.

4500917300880 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 4500917300880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936460021760).

4500917300880 is an abundant number, since it is smaller than the sum of its proper divisors (17372002742640).

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

4500917300880 is a wasteful number, since it uses less digits than its factorization.

4500917300880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 4500917300880 in words is "four trillion, five hundred billion, nine hundred seventeen million, three hundred thousand, eight hundred eighty".