41181621350400 has 1872 divisors, whose sum is σ = 159288372891648. Its totient is φ = 10534551552000.

The previous prime is 41181621350399. The next prime is 41181621350413. The reversal of 41181621350400 is 405312618114.

41181621350400 is a `hidden beast` number, since 4 + 1 + 1 + 81 + 62 + 13 + 504 + 0 + 0 = 666.

It is a super-3 number, since 3×41181621350400³ (a number of 42 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 143 ways as a sum of consecutive naturals, for example, 151961702265 + ... + 151961702535.

It is an arithmetic number, because the mean of its divisors is an integer number (85089942784).

Almost surely, 2^{41181621350400} is an apocalyptic number.

41181621350400 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 41181621350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79644186445824).

41181621350400 is an abundant number, since it is smaller than the sum of its proper divisors (118106751541248).

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

41181621350400 is a wasteful number, since it uses less digits than its factorization.

41181621350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 41181621350400 its reverse (405312618114), we get a palindrome (41586933968514).

The spelling of 41181621350400 in words is "forty-one trillion, one hundred eighty-one billion, six hundred twenty-one million, three hundred fifty thousand, four hundred".