4523649318240 has 768 divisors, whose sum is σ = 16542236212992. Its totient is φ = 1029181538304.

The previous prime is 4523649318229. The next prime is 4523649318259. The reversal of 4523649318240 is 428139463254.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1990165744 + ... + 1990168016.

It is an arithmetic number, because the mean of its divisors is an integer number (21539370069).

Almost surely, 2^{4523649318240} is an apocalyptic number.

4523649318240 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 4523649318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271118106496).

4523649318240 is an abundant number, since it is smaller than the sum of its proper divisors (12018586894752).

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

4523649318240 is a wasteful number, since it uses less digits than its factorization.

4523649318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 4523649318240 in words is "four trillion, five hundred twenty-three billion, six hundred forty-nine million, three hundred eighteen thousand, two hundred forty".