41582228688 has 1200 divisors, whose sum is σ = 173850747840. Its totient is φ = 9405849600.

The previous prime is 41582228687. The next prime is 41582228713. The reversal of 41582228688 is 88682228514.

It is a super-2 number, since 2×41582228688² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41582228687) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 172540248 + ... + 172540488.

Almost surely, 2^41582228688 is an apocalyptic number.

41582228688 is a gapful number since it is divisible by the number (48) 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 41582228688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86925373920).

41582228688 is an abundant number, since it is smaller than the sum of its proper divisors (132268519152).

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

41582228688 is a wasteful number, since it uses less digits than its factorization.

41582228688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its digits is 3932160, while the sum is 54.

The spelling of 41582228688 in words is "forty-one billion, five hundred eighty-two million, two hundred twenty-eight thousand, six hundred eighty-eight".