41946820608 has 416 divisors, whose sum is σ = 142823780352. Its totient is φ = 10631577600.

The previous prime is 41946820589. The next prime is 41946820649. The reversal of 41946820608 is 80602864914.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40685053 + ... + 40686083.

Almost surely, 2^41946820608 is an apocalyptic number.

41946820608 is a gapful number since it is divisible by the number (48) 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 41946820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71411890176).

41946820608 is an abundant number, since it is smaller than the sum of its proper divisors (100876959744).

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

41946820608 is a wasteful number, since it uses less digits than its factorization.

41946820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 41946820608 in words is "forty-one billion, nine hundred forty-six million, eight hundred twenty thousand, six hundred eight".