41132125440 has 864 divisors, whose sum is σ = 172768167936. Its totient is φ = 8831877120.

The previous prime is 41132125427. The next prime is 41132125477. The reversal of 41132125440 is 4452123114.

41132125440 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 212 + 5 + 440 = 666.

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, 124266075 + ... + 124266405.

Almost surely, 2^41132125440 is an apocalyptic number.

41132125440 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 41132125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86384083968).

41132125440 is an abundant number, since it is smaller than the sum of its proper divisors (131636042496).

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

41132125440 is a wasteful number, since it uses less digits than its factorization.

41132125440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41132125440 its reverse (4452123114), we get a palindrome (45584248554).

The spelling of 41132125440 in words is "forty-one billion, one hundred thirty-two million, one hundred twenty-five thousand, four hundred forty".