41286205440000 has 2280 divisors, whose sum is σ = 166335788546928. Its totient is φ = 10192158720000.

The previous prime is 41286205439993. The next prime is 41286205440001. The reversal of 41286205440000 is 4450268214.

41286205440000 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 6 + 205 + 440 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41286205440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 676823039970 + ... + 676823040030.

Almost surely, 2^{41286205440000} is an apocalyptic number.

41286205440000 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 41286205440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83167894273464).

41286205440000 is an abundant number, since it is smaller than the sum of its proper divisors (125049583106928).

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

41286205440000 is an frugal number, since it uses more digits than its factorization.

41286205440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 41286205440000 in words is "forty-one trillion, two hundred eighty-six billion, two hundred five million, four hundred forty thousand".