4532675811840 has 1920 divisors, whose sum is σ = 18402922137600. Its totient is φ = 1059904880640.

The previous prime is 4532675811799. The next prime is 4532675811857. The reversal of 4532675811840 is 481185762354.

It is a happy number.

4532675811840 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 6 + 7 + 581 + 18 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41584181706 + ... + 41584181814.

It is an arithmetic number, because the mean of its divisors is an integer number (9584855280).

Almost surely, 2^{4532675811840} is an apocalyptic number.

4532675811840 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 4532675811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9201461068800).

4532675811840 is an abundant number, since it is smaller than the sum of its proper divisors (13870246325760).

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

4532675811840 is a wasteful number, since it uses less digits than its factorization.

4532675811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4532675811840 in words is "four trillion, five hundred thirty-two billion, six hundred seventy-five million, eight hundred eleven thousand, eight hundred forty".