4500680533440 has 672 divisors, whose sum is σ = 17948150438400. Its totient is φ = 935405273088.

The previous prime is 4500680533423. The next prime is 4500680533487. The reversal of 4500680533440 is 443350860054.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4500680533440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4500680533392 and 4500680533401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76060986 + ... + 76120134.

It is an arithmetic number, because the mean of its divisors is an integer number (26708557200).

Almost surely, 2^{4500680533440} is an apocalyptic number.

4500680533440 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 4500680533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974075219200).

4500680533440 is an abundant number, since it is smaller than the sum of its proper divisors (13447469904960).

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

4500680533440 is a wasteful number, since it uses less digits than its factorization.

4500680533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59269 (or 59246 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 4500680533440 in words is "four trillion, five hundred billion, six hundred eighty million, five hundred thirty-three thousand, four hundred forty".