32135304053340 has 576 divisors, whose sum is σ = 104040308736000. Its totient is φ = 8233444454400.

The previous prime is 32135304053323. The next prime is 32135304053357. The reversal of 32135304053340 is 4335040353123.

32135304053340 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 5 + 304 + 0 + 5 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (32135304053323) and next prime (32135304053357).

It is a super-2 number, since 2×32135304053340² (a number of 28 digits) contains 22 as substring.

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 = 32135304053295 and 32135304053304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25125334821 + ... + 25125336099.

It is an arithmetic number, because the mean of its divisors is an integer number (180625536000).

Almost surely, 2^{32135304053340} is an apocalyptic number.

32135304053340 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 32135304053340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52020154368000).

32135304053340 is an abundant number, since it is smaller than the sum of its proper divisors (71905004682660).

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

32135304053340 is a wasteful number, since it uses less digits than its factorization.

32135304053340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 32135304053340 in words is "thirty-two trillion, one hundred thirty-five billion, three hundred four million, fifty-three thousand, three hundred forty".