41446340000 has 240 divisors, whose sum is σ = 116279284968. Its totient is φ = 14401536000.

The previous prime is 41446339999. The next prime is 41446340003. The reversal of 41446340000 is 4364414.

It can be written as a sum of positive squares in 20 ways, for example, as 27345252496 + 14101087504 = 165364^2 + 118748^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41446340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4415312 + ... + 4424688.

Almost surely, 2^41446340000 is an apocalyptic number.

41446340000 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 41446340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58139642484).

41446340000 is an abundant number, since it is smaller than the sum of its proper divisors (74832944968).

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

41446340000 is a wasteful number, since it uses less digits than its factorization.

41446340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 41446340000 in words is "forty-one billion, four hundred forty-six million, three hundred forty thousand".