41525101440 has 256 divisors, whose sum is σ = 149846241600. Its totient is φ = 10864189440.

The previous prime is 41525101427. The next prime is 41525101447. The reversal of 41525101440 is 4410152514.

41525101440 is a `hidden beast` number, since 4 + 1 + 5 + 2 + 510 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41525101447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893170 + ... + 938510.

Almost surely, 2^41525101440 is an apocalyptic number.

41525101440 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 41525101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74923120800).

41525101440 is an abundant number, since it is smaller than the sum of its proper divisors (108321140160).

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

41525101440 is a wasteful number, since it uses less digits than its factorization.

41525101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45422 (or 45404 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 41525101440 its reverse (4410152514), we get a palindrome (45935253954).

The spelling of 41525101440 in words is "forty-one billion, five hundred twenty-five million, one hundred one thousand, four hundred forty".