32405973339012 has 384 divisors, whose sum is σ = 95058574700544. Its totient is φ = 8365777846272.

The previous prime is 32405973338969. The next prime is 32405973339023. The reversal of 32405973339012 is 21093337950423.

It is a super-2 number, since 2×32405973339012² (a number of 28 digits) contains 22 as substring.

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, 4449532723 + ... + 4449540005.

It is an arithmetic number, because the mean of its divisors is an integer number (247548371616).

Almost surely, 2^{32405973339012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32405973339012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47529287350272).

32405973339012 is an abundant number, since it is smaller than the sum of its proper divisors (62652601361532).

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

32405973339012 is a wasteful number, since it uses less digits than its factorization.

32405973339012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 51.

The spelling of 32405973339012 in words is "thirty-two trillion, four hundred five billion, nine hundred seventy-three million, three hundred thirty-nine thousand, twelve".