32442100629120 has 3072 divisors, whose sum is σ = 151339746816000. Its totient is φ = 6412699238400.

The previous prime is 32442100629083. The next prime is 32442100629161. The reversal of 32442100629120 is 2192600124423.

It is a happy number.

32442100629120 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 2 + 1 + 0 + 0 + 629 + 1 + 20 = 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39228658147 + ... + 39228658973.

It is an arithmetic number, because the mean of its divisors is an integer number (49264240500).

Almost surely, 2^{32442100629120} is an apocalyptic number.

32442100629120 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 32442100629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75669873408000).

32442100629120 is an abundant number, since it is smaller than the sum of its proper divisors (118897646186880).

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

32442100629120 is a wasteful number, since it uses less digits than its factorization.

32442100629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 32442100629120 in words is "thirty-two trillion, four hundred forty-two billion, one hundred million, six hundred twenty-nine thousand, one hundred twenty".