41086094400 has 672 divisors, whose sum is σ = 162708336000. Its totient is φ = 10025164800.

The previous prime is 41086094393. The next prime is 41086094417. The reversal of 41086094400 is 449068014.

It is a happy number.

41086094400 is a `hidden beast` number, since 4 + 1 + 0 + 8 + 609 + 4 + 40 + 0 = 666.

It is a super-3 number, since 3×41086094400³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83678155 + ... + 83678645.

It is an arithmetic number, because the mean of its divisors is an integer number (242125500).

Almost surely, 2^41086094400 is an apocalyptic number.

41086094400 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 41086094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81354168000).

41086094400 is an abundant number, since it is smaller than the sum of its proper divisors (121622241600).

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

41086094400 is a wasteful number, since it uses less digits than its factorization.

41086094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41086094400 in words is "forty-one billion, eighty-six million, ninety-four thousand, four hundred".