41690444800000 has 672 divisors, whose sum is σ = 106961856753024. Its totient is φ = 16243752960000.

The previous prime is 41690444799989. The next prime is 41690444800019. The reversal of 41690444800000 is 844409614.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255769599919 + ... + 255769600081.

It is an arithmetic number, because the mean of its divisors is an integer number (159169429692).

Almost surely, 2^{41690444800000} is an apocalyptic number.

41690444800000 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 41690444800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53480928376512).

41690444800000 is an abundant number, since it is smaller than the sum of its proper divisors (65271411953024).

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

41690444800000 is an frugal number, since it uses more digits than its factorization.

41690444800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 41690444800000 in words is "forty-one trillion, six hundred ninety billion, four hundred forty-four million, eight hundred thousand".