41639698400384 has 128 divisors (see below), whose sum is σ = 100564948552320. Its totient is φ = 16765135994880.

The previous prime is 41639698400381. The next prime is 41639698400431. The reversal of 41639698400384 is 48300489693614.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 41639698400384.

It is not an unprimeable number, because it can be changed into a prime (41639698400381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5833094 + ... + 10830714.

It is an arithmetic number, because the mean of its divisors is an integer number (785663660565).

Almost surely, 2^{41639698400384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41639698400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50282474276160).

41639698400384 is an abundant number, since it is smaller than the sum of its proper divisors (58925250151936).

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

41639698400384 is a wasteful number, since it uses less digits than its factorization.

41639698400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998206 (or 4998194 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 65.

The spelling of 41639698400384 in words is "forty-one trillion, six hundred thirty-nine billion, six hundred ninety-eight million, four hundred thousand, three hundred eighty-four".