41626020800 has 672 divisors, whose sum is σ = 136304609280. Its totient is φ = 12143001600.

The previous prime is 41626020797. The next prime is 41626020817. The reversal of 41626020800 is 802062614.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113422217 + ... + 113422583.

It is an arithmetic number, because the mean of its divisors is an integer number (202834240).

Almost surely, 2^41626020800 is an apocalyptic number.

41626020800 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 41626020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68152304640).

41626020800 is an abundant number, since it is smaller than the sum of its proper divisors (94678588480).

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

41626020800 is a wasteful number, since it uses less digits than its factorization.

41626020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 41626020800 in words is "forty-one billion, six hundred twenty-six million, twenty thousand, eight hundred".