41438011444600 has 48 divisors (see below), whose sum is σ = 99451227481920. Its totient is φ = 16040520556800.

The previous prime is 41438011444597. The next prime is 41438011444667. The reversal of 41438011444600 is 644411083414.

It is a happy number.

41438011444600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3341768917 + ... + 3341781316.

It is an arithmetic number, because the mean of its divisors is an integer number (2071900572540).

Almost surely, 2^{41438011444600} is an apocalyptic number.

41438011444600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41438011444600 is an abundant number, since it is smaller than the sum of its proper divisors (58013216037320).

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

41438011444600 is a wasteful number, since it uses less digits than its factorization.

41438011444600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683550280 (or 6683550271 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 41438011444600 in words is "forty-one trillion, four hundred thirty-eight billion, eleven million, four hundred forty-four thousand, six hundred".