41121128496 has 480 divisors, whose sum is σ = 134755660800. Its totient is φ = 10779310080.

The previous prime is 41121128483. The next prime is 41121128501. The reversal of 41121128496 is 69482112114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363903736 + ... + 363903848.

It is an arithmetic number, because the mean of its divisors is an integer number (280740960).

Almost surely, 2^41121128496 is an apocalyptic number.

41121128496 is a gapful number since it is divisible by the number (46) 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 41121128496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67377830400).

41121128496 is an abundant number, since it is smaller than the sum of its proper divisors (93634532304).

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

41121128496 is a wasteful number, since it uses less digits than its factorization.

41121128496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 179 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The spelling of 41121128496 in words is "forty-one billion, one hundred twenty-one million, one hundred twenty-eight thousand, four hundred ninety-six".