32130024432000 has 1536 divisors, whose sum is σ = 124198470789120. Its totient is φ = 7326443520000.

The previous prime is 32130024431971. The next prime is 32130024432013. The reversal of 32130024432000 is 23442003123.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8148622029 + ... + 8148625971.

It is an arithmetic number, because the mean of its divisors is an integer number (80858379420).

Almost surely, 2^{32130024432000} is an apocalyptic number.

32130024432000 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 32130024432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62099235394560).

32130024432000 is an abundant number, since it is smaller than the sum of its proper divisors (92068446357120).

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

32130024432000 is a wasteful number, since it uses less digits than its factorization.

32130024432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 32130024432000 its reverse (23442003123), we get a palindrome (32153466435123).

The spelling of 32130024432000 in words is "thirty-two trillion, one hundred thirty billion, twenty-four million, four hundred thirty-two thousand".