83121101446440 has 256 divisors, whose sum is σ = 252631602432000. Its totient is φ = 21876569164800.

The previous prime is 83121101446417. The next prime is 83121101446483. The reversal of 83121101446440 is 4464410112138.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11662842157 + ... + 11662849283.

It is an arithmetic number, because the mean of its divisors is an integer number (986842197000).

Almost surely, 2^{83121101446440} 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 83121101446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126315801216000).

83121101446440 is an abundant number, since it is smaller than the sum of its proper divisors (169510500985560).

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

83121101446440 is a wasteful number, since it uses less digits than its factorization.

83121101446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10156 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 83121101446440 its reverse (4464410112138), we get a palindrome (87585511558578).

The spelling of 83121101446440 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred one million, four hundred forty-six thousand, four hundred forty".