32461420032000 has 2080 divisors, whose sum is σ = 131381737591104. Its totient is φ = 7941390336000.

The previous prime is 32461420031921. The next prime is 32461420032001. The reversal of 32461420032000 is 23002416423.

32461420032000 is a `hidden beast` number, since 3 + 2 + 4 + 614 + 20 + 0 + 3 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32461420032001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28905983439 + ... + 28905984561.

Almost surely, 2^{32461420032000} is an apocalyptic number.

32461420032000 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 32461420032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65690868795552).

32461420032000 is an abundant number, since it is smaller than the sum of its proper divisors (98920317559104).

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

32461420032000 is a wasteful number, since it uses less digits than its factorization.

32461420032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1191 counting only the distinct ones).

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

Adding to 32461420032000 its reverse (23002416423), we get a palindrome (32484422448423).

The spelling of 32461420032000 in words is "thirty-two trillion, four hundred sixty-one billion, four hundred twenty million, thirty-two thousand".