41874194678400 has 1728 divisors, whose sum is σ = 180936451200960. Its totient is φ = 9534744576000.

The previous prime is 41874194678363. The next prime is 41874194678447. The reversal of 41874194678400 is 487649147814.

It is a happy number.

41874194678400 is a `hidden beast` number, since 4 + 1 + 8 + 74 + 1 + 94 + 6 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10706772445 + ... + 10706776355.

It is an arithmetic number, because the mean of its divisors is an integer number (104708594445).

Almost surely, 2^{41874194678400} is an apocalyptic number.

41874194678400 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 41874194678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90468225600480).

41874194678400 is an abundant number, since it is smaller than the sum of its proper divisors (139062256522560).

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

41874194678400 is a wasteful number, since it uses less digits than its factorization.

41874194678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4209 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 41874194678400 in words is "forty-one trillion, eight hundred seventy-four billion, one hundred ninety-four million, six hundred seventy-eight thousand, four hundred".