41413148640 has 672 divisors, whose sum is σ = 157064624640. Its totient is φ = 10288954368.

The previous prime is 41413148629. The next prime is 41413148671. The reversal of 41413148640 is 4684131414.

It is a happy number.

41413148640 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 3 + 1 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41413148595 and 41413148604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115356781 + ... + 115357139.

It is an arithmetic number, because the mean of its divisors is an integer number (233727120).

Almost surely, 2^41413148640 is an apocalyptic number.

41413148640 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 41413148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78532312320).

41413148640 is an abundant number, since it is smaller than the sum of its proper divisors (115651476000).

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

41413148640 is a wasteful number, since it uses less digits than its factorization.

41413148640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 41413148640 in words is "forty-one billion, four hundred thirteen million, one hundred forty-eight thousand, six hundred forty".