41649672960 has 576 divisors, whose sum is σ = 170597145600. Its totient is φ = 9425092608.

The previous prime is 41649672877. The next prime is 41649672983. The reversal of 41649672960 is 6927694614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41649672897 and 41649672906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25884636 + ... + 25886244.

It is an arithmetic number, because the mean of its divisors is an integer number (296175600).

Almost surely, 2^41649672960 is an apocalyptic number.

41649672960 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 41649672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85298572800).

41649672960 is an abundant number, since it is smaller than the sum of its proper divisors (128947472640).

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

41649672960 is a wasteful number, since it uses less digits than its factorization.

41649672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 41649672960 in words is "forty-one billion, six hundred forty-nine million, six hundred seventy-two thousand, nine hundred sixty".