32426103234000 has 640 divisors, whose sum is σ = 120407653416960. Its totient is φ = 7354105344000.

The previous prime is 32426103233963. The next prime is 32426103234043. The reversal of 32426103234000 is 43230162423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3280993059 + ... + 3281002941.

It is an arithmetic number, because the mean of its divisors is an integer number (188136958464).

Almost surely, 2^{32426103234000} is an apocalyptic number.

32426103234000 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 32426103234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60203826708480).

32426103234000 is an abundant number, since it is smaller than the sum of its proper divisors (87981550182960).

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

32426103234000 is a wasteful number, since it uses less digits than its factorization.

32426103234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 32426103234000 its reverse (43230162423), we get a palindrome (32469333396423).

The spelling of 32426103234000 in words is "thirty-two trillion, four hundred twenty-six billion, one hundred three million, two hundred thirty-four thousand".