41946952320 has 768 divisors, whose sum is σ = 180709401600. Its totient is φ = 8729690112.

The previous prime is 41946952291. The next prime is 41946952321. The reversal of 41946952320 is 2325964914.

41946952320 is a `hidden beast` number, since 41 + 9 + 4 + 69 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41946952321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41408134 + ... + 41409146.

It is an arithmetic number, because the mean of its divisors is an integer number (235298700).

Almost surely, 2^41946952320 is an apocalyptic number.

41946952320 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 41946952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90354700800).

41946952320 is an abundant number, since it is smaller than the sum of its proper divisors (138762449280).

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

41946952320 is a wasteful number, since it uses less digits than its factorization.

41946952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 41946952320 in words is "forty-one billion, nine hundred forty-six million, nine hundred fifty-two thousand, three hundred twenty".