32126320400416 has 96 divisors (see below), whose sum is σ = 69524278689600. Its totient is φ = 14492009548800.

The previous prime is 32126320400413. The next prime is 32126320400437. The reversal of 32126320400416 is 61400402362123.

It is not an unprimeable number, because it can be changed into a prime (32126320400413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25301230 + ... + 26540626.

It is an arithmetic number, because the mean of its divisors is an integer number (724211236350).

Almost surely, 2^{32126320400416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32126320400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34762139344800).

32126320400416 is an abundant number, since it is smaller than the sum of its proper divisors (37397958289184).

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

32126320400416 is a wasteful number, since it uses less digits than its factorization.

32126320400416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239978 (or 1239970 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 32126320400416 its reverse (61400402362123), we get a palindrome (93526722762539).

The spelling of 32126320400416 in words is "thirty-two trillion, one hundred twenty-six billion, three hundred twenty million, four hundred thousand, four hundred sixteen".