41778601857600 has 336 divisors, whose sum is σ = 137377308866880. Its totient is φ = 11115898675200.

The previous prime is 41778601857599. The next prime is 41778601857721. The reversal of 41778601857600 is 675810687714.

41778601857600 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 (60).

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 47 ways as a sum of consecutive naturals, for example, 4819306066 + ... + 4819314734.

Almost surely, 2^{41778601857600} is an apocalyptic number.

41778601857600 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 41778601857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68688654433440).

41778601857600 is an abundant number, since it is smaller than the sum of its proper divisors (95598707009280).

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

41778601857600 is a wasteful number, since it uses less digits than its factorization.

41778601857600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10838 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 41778601857600 in words is "forty-one trillion, seven hundred seventy-eight billion, six hundred one million, eight hundred fifty-seven thousand, six hundred".