41582883552 has 288 divisors, whose sum is σ = 129300095232. Its totient is φ = 11461632000.

The previous prime is 41582883539. The next prime is 41582883569. The reversal of 41582883552 is 25538828514.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41582883495 and 41582883504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147981652 + ... + 147981932.

It is an arithmetic number, because the mean of its divisors is an integer number (448958664).

Almost surely, 2^41582883552 is an apocalyptic number.

41582883552 is a gapful number since it is divisible by the number (42) 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 41582883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64650047616).

41582883552 is an abundant number, since it is smaller than the sum of its proper divisors (87717211680).

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

41582883552 is a wasteful number, since it uses less digits than its factorization.

41582883552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 465 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 51.

The spelling of 41582883552 in words is "forty-one billion, five hundred eighty-two million, eight hundred eighty-three thousand, five hundred fifty-two".