32141240643240 has 160 divisors (see below), whose sum is σ = 108431883549000. Its totient is φ = 8539134829056.

The previous prime is 32141240643233. The next prime is 32141240643283. The reversal of 32141240643240 is 4234604214123.

32141240643240 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 2 + 4 + 0 + 643 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10623127750596 + 21518112892644 = 3259314^2 + 4638762^2 .

It is a super-3 number, since 3×32141240643240³ (a number of 41 digits) contains 333 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 = 32141240643195 and 32141240643204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17567355 + ... + 19310474.

Almost surely, 2^{32141240643240} is an apocalyptic number.

32141240643240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32141240643240 is an abundant number, since it is smaller than the sum of its proper divisors (76290642905760).

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

32141240643240 is a wasteful number, since it uses less digits than its factorization.

32141240643240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36878121 (or 36878108 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 32141240643240 its reverse (4234604214123), we get a palindrome (36375844857363).

The spelling of 32141240643240 in words is "thirty-two trillion, one hundred forty-one billion, two hundred forty million, six hundred forty-three thousand, two hundred forty".