41627792000 has 512 divisors, whose sum is σ = 115482931200. Its totient is φ = 14868480000.

The previous prime is 41627791993. The next prime is 41627792099. The reversal of 41627792000 is 29772614.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467727956 + ... + 467728044.

It is an arithmetic number, because the mean of its divisors is an integer number (225552600).

Almost surely, 2^41627792000 is an apocalyptic number.

41627792000 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 41627792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741465600).

41627792000 is an abundant number, since it is smaller than the sum of its proper divisors (73855139200).

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

41627792000 is a wasteful number, since it uses less digits than its factorization.

41627792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 41627792000 in words is "forty-one billion, six hundred twenty-seven million, seven hundred ninety-two thousand".