41792960 has 112 divisors (see below), whose sum is σ = 112361472. Its totient is φ = 14668800.

The previous prime is 41792957. The next prime is 41792983. The reversal of 41792960 is 6929714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108929 + ... + 109311.

Almost surely, 2^41792960 is an apocalyptic number.

41792960 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 41792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56180736).

41792960 is an abundant number, since it is smaller than the sum of its proper divisors (70568512).

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

41792960 is a wasteful number, since it uses less digits than its factorization.

41792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 41792960 is about 6464.7474815340. The cubic root of 41792960 is about 347.0305515045.

The spelling of 41792960 in words is "forty-one million, seven hundred ninety-two thousand, nine hundred sixty".