32312340410040 has 192 divisors, whose sum is σ = 108909029698560. Its totient is φ = 8616270049920.

The previous prime is 32312340409963. The next prime is 32312340410057. The reversal of 32312340410040 is 4001404321323.

32312340410040 is a `hidden beast` number, since 3 + 2 + 312 + 340 + 4 + 1 + 0 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32312340409986 and 32312340410013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307945185 + ... + 308050095.

It is an arithmetic number, because the mean of its divisors is an integer number (567234529680).

Almost surely, 2^{32312340410040} is an apocalyptic number.

32312340410040 is a gapful number since it is divisible by the number (30) 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 32312340410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54454514849280).

32312340410040 is an abundant number, since it is smaller than the sum of its proper divisors (76596689288520).

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

32312340410040 is a wasteful number, since it uses less digits than its factorization.

32312340410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136624 (or 136608 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 32312340410040 its reverse (4001404321323), we get a palindrome (36313744731363).

The spelling of 32312340410040 in words is "thirty-two trillion, three hundred twelve billion, three hundred forty million, four hundred ten thousand, forty".