41828811552 has 144 divisors (see below), whose sum is σ = 129887398368. Its totient is φ = 12663383040.

The previous prime is 41828811509. The next prime is 41828811589. The reversal of 41828811552 is 25511882814.

41828811552 is a `hidden beast` number, since 4 + 1 + 8 + 2 + 88 + 11 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 41828811498 and 41828811507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3678708 + ... + 3690060.

It is an arithmetic number, because the mean of its divisors is an integer number (901995822).

Almost surely, 2^41828811552 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 41828811552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64943699184).

41828811552 is an abundant number, since it is smaller than the sum of its proper divisors (88058586816).

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

41828811552 is a wasteful number, since it uses less digits than its factorization.

41828811552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12543 (or 12532 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The spelling of 41828811552 in words is "forty-one billion, eight hundred twenty-eight million, eight hundred eleven thousand, five hundred fifty-two".