41400086400 has 288 divisors, whose sum is σ = 156416551200. Its totient is φ = 10390487040.

The previous prime is 41400086359. The next prime is 41400086437. The reversal of 41400086400 is 468000414.

41400086400 is a `hidden beast` number, since 4 + 14 + 0 + 0 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447321 + ... + 531879.

It is an arithmetic number, because the mean of its divisors is an integer number (543113025).

Almost surely, 2^41400086400 is an apocalyptic number.

41400086400 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 41400086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78208275600).

41400086400 is an abundant number, since it is smaller than the sum of its proper divisors (115016464800).

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

41400086400 is a wasteful number, since it uses less digits than its factorization.

41400086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84606 (or 84586 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41400086400 its reverse (468000414), we get a palindrome (41868086814).

The spelling of 41400086400 in words is "forty-one billion, four hundred million, eighty-six thousand, four hundred".