32141040144400 has 240 divisors, whose sum is σ = 86309132112000. Its totient is φ = 11400500736000.

The previous prime is 32141040144377. The next prime is 32141040144413. The reversal of 32141040144400 is 444104014123.

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, 1253586781 + ... + 1253612419.

It is an arithmetic number, because the mean of its divisors is an integer number (359621383800).

Almost surely, 2^{32141040144400} 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 32141040144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154566056000).

32141040144400 is an abundant number, since it is smaller than the sum of its proper divisors (54168091967600).

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

32141040144400 is a wasteful number, since it uses less digits than its factorization.

32141040144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32658 (or 32647 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 32141040144400 its reverse (444104014123), we get a palindrome (32585144158523).

The spelling of 32141040144400 in words is "thirty-two trillion, one hundred forty-one billion, forty million, one hundred forty-four thousand, four hundred".