32132413320000 has 1120 divisors, whose sum is σ = 129700184055552. Its totient is φ = 6851002368000.

The previous prime is 32132413319911. The next prime is 32132413320001. The reversal of 32132413320000 is 2331423123.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32132413320001) 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, 1613630044 + ... + 1613649956.

Almost surely, 2^{32132413320000} is an apocalyptic number.

32132413320000 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 32132413320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64850092027776).

32132413320000 is an abundant number, since it is smaller than the sum of its proper divisors (97567770735552).

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

32132413320000 is a wasteful number, since it uses less digits than its factorization.

32132413320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20085 (or 20060 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32132413320000 its reverse (2331423123), we get a palindrome (32134744743123).

It can be divided in two parts, 3213 and 2413320000, that multiplied together give a square (7753997160000 = 2784600²).

The spelling of 32132413320000 in words is "thirty-two trillion, one hundred thirty-two billion, four hundred thirteen million, three hundred twenty thousand".