41852671871400 has 1152 divisors, whose sum is σ = 162469226304000. Its totient is φ = 9842412902400.

The previous prime is 41852671871347. The next prime is 41852671871467. The reversal of 41852671871400 is 417817625814.

It is a happy number.

41852671871400 is a `hidden beast` number, since 4 + 1 + 8 + 52 + 6 + 7 + 187 + 1 + 400 = 666.

It is a super-2 number, since 2×41852671871400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5329509874 + ... + 5329517726.

It is an arithmetic number, because the mean of its divisors is an integer number (141032314500).

Almost surely, 2^{41852671871400} is an apocalyptic number.

41852671871400 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 41852671871400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81234613152000).

41852671871400 is an abundant number, since it is smaller than the sum of its proper divisors (120616554432600).

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

41852671871400 is a wasteful number, since it uses less digits than its factorization.

41852671871400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 7986 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 41852671871400 in words is "forty-one trillion, eight hundred fifty-two billion, six hundred seventy-one million, eight hundred seventy-one thousand, four hundred".