41540415525 has 288 divisors, whose sum is σ = 90451924992. Its totient is φ = 17831923200.

The previous prime is 41540415517. The next prime is 41540415583. The reversal of 41540415525 is 52551404514.

41540415525 is a `hidden beast` number, since 4 + 1 + 540 + 41 + 55 + 25 = 666.

It is not a de Polignac number, because 41540415525 - 2³ = 41540415517 is a prime.

It is a super-2 number, since 2×41540415525² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41540415525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 254849094 + ... + 254849256.

It is an arithmetic number, because the mean of its divisors is an integer number (314069184).

Almost surely, 2^41540415525 is an apocalyptic number.

41540415525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41540415525 is an abundant number, since it is smaller than the sum of its proper divisors (48911509467).

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

41540415525 is a wasteful number, since it uses less digits than its factorization.

41540415525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 41540415525 in words is "forty-one billion, five hundred forty million, four hundred fifteen thousand, five hundred twenty-five".