41828424000 has 896 divisors, whose sum is σ = 164328652800. Its totient is φ = 9262080000.

The previous prime is 41828423999. The next prime is 41828424017. The reversal of 41828424000 is 42482814.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155495866 + ... + 155496134.

Almost surely, 2^41828424000 is an apocalyptic number.

41828424000 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 41828424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82164326400).

41828424000 is an abundant number, since it is smaller than the sum of its proper divisors (122500228800).

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

41828424000 is a wasteful number, since it uses less digits than its factorization.

41828424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 41828424000 in words is "forty-one billion, eight hundred twenty-eight million, four hundred twenty-four thousand".