41288454866400 has 1152 divisors, whose sum is σ = 166710279859200. Its totient is φ = 8660008304640.

The previous prime is 41288454866389. The next prime is 41288454866401. The reversal of 41288454866400 is 466845488214.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41288454866401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7577250876 + ... + 7577256324.

It is an arithmetic number, because the mean of its divisors is an integer number (144713784600).

Almost surely, 2^{41288454866400} is an apocalyptic number.

41288454866400 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 41288454866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83355139929600).

41288454866400 is an abundant number, since it is smaller than the sum of its proper divisors (125421824992800).

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

41288454866400 is a wasteful number, since it uses less digits than its factorization.

41288454866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6156 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 60.

The spelling of 41288454866400 in words is "forty-one trillion, two hundred eighty-eight billion, four hundred fifty-four million, eight hundred sixty-six thousand, four hundred".