41460419616 has 288 divisors, whose sum is σ = 137144254464. Its totient is φ = 10735296000.

The previous prime is 41460419557. The next prime is 41460419629. The reversal of 41460419616 is 61691406414.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36020641 + ... + 36021791.

It is an arithmetic number, because the mean of its divisors is an integer number (476195328).

Almost surely, 2^41460419616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41460419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68572127232).

41460419616 is an abundant number, since it is smaller than the sum of its proper divisors (95683834848).

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

41460419616 is a wasteful number, since it uses less digits than its factorization.

41460419616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 41460419616 in words is "forty-one billion, four hundred sixty million, four hundred nineteen thousand, six hundred sixteen".