4532913208320 has 704 divisors, whose sum is σ = 17502232805376. Its totient is φ = 979323125760.

The previous prime is 4532913208183. The next prime is 4532913208393. The reversal of 4532913208320 is 238023192354.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143308347 + ... + 143339973.

It is an arithmetic number, because the mean of its divisors is an integer number (24861126144).

Almost surely, 2^{4532913208320} is an apocalyptic number.

4532913208320 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 4532913208320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751116402688).

4532913208320 is an abundant number, since it is smaller than the sum of its proper divisors (12969319597056).

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

4532913208320 is a wasteful number, since it uses less digits than its factorization.

4532913208320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31736 (or 31718 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 4532913208320 in words is "four trillion, five hundred thirty-two billion, nine hundred thirteen million, two hundred eight thousand, three hundred twenty".