32401244067120 has 640 divisors, whose sum is σ = 122332170240000. Its totient is φ = 7847106232320.

The previous prime is 32401244067097. The next prime is 32401244067149. The reversal of 32401244067120 is 2176044210423.

32401244067120 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 124 + 406 + 7 + 120 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397232901 + ... + 397314459.

It is an arithmetic number, because the mean of its divisors is an integer number (191144016000).

Almost surely, 2^{32401244067120} is an apocalyptic number.

32401244067120 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 32401244067120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61166085120000).

32401244067120 is an abundant number, since it is smaller than the sum of its proper divisors (89930926172880).

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

32401244067120 is a wasteful number, since it uses less digits than its factorization.

32401244067120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81978 (or 81966 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 32401244067120 its reverse (2176044210423), we get a palindrome (34577288277543).

The spelling of 32401244067120 in words is "thirty-two trillion, four hundred one billion, two hundred forty-four million, sixty-seven thousand, one hundred twenty".