12332759040 has 432 divisors, whose sum is σ = 49739802840. Its totient is φ = 2817884160.

The previous prime is 12332759027. The next prime is 12332759059. The reversal of 12332759040 is 4095723321.

12332759040 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 27 + 590 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12332758986 and 12332759004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4514475 + ... + 4517205.

Almost surely, 2^12332759040 is an apocalyptic number.

12332759040 is a gapful number since it is divisible by the number (10) 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 12332759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24869901420).

12332759040 is an abundant number, since it is smaller than the sum of its proper divisors (37407043800).

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

12332759040 is a wasteful number, since it uses less digits than its factorization.

12332759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12332759040 in words is "twelve billion, three hundred thirty-two million, seven hundred fifty-nine thousand, forty".