41828310000 has 600 divisors, whose sum is σ = 156893090640. Its totient is φ = 10368000000.

The previous prime is 41828309989. The next prime is 41828310001. The reversal of 41828310000 is 1382814.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×41828310000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41828310001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104309800 + ... + 104310200.

Almost surely, 2^41828310000 is an apocalyptic number.

41828310000 is a gapful number since it is divisible by the number (40) 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 41828310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78446545320).

41828310000 is an abundant number, since it is smaller than the sum of its proper divisors (115064780640).

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

41828310000 is a wasteful number, since it uses less digits than its factorization.

41828310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 41828310000 its reverse (1382814), we get a palindrome (41829692814).

The spelling of 41828310000 in words is "forty-one billion, eight hundred twenty-eight million, three hundred ten thousand".