32141240264160 has 240 divisors, whose sum is σ = 113437096675056. Its totient is φ = 8570596718592.

The previous prime is 32141240264149. The next prime is 32141240264167. The reversal of 32141240264160 is 6146204214123.

32141240264160 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 2 + 4 + 0 + 2 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32141240264167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366685299 + ... + 366772941.

Almost surely, 2^{32141240264160} is an apocalyptic number.

32141240264160 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 32141240264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56718548337528).

32141240264160 is an abundant number, since it is smaller than the sum of its proper divisors (81295856410896).

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

32141240264160 is a wasteful number, since it uses less digits than its factorization.

32141240264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115967 (or 115950 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 32141240264160 its reverse (6146204214123), we get a palindrome (38287444478283).

The spelling of 32141240264160 in words is "thirty-two trillion, one hundred forty-one billion, two hundred forty million, two hundred sixty-four thousand, one hundred sixty".