41961960 has 96 divisors (see below), whose sum is σ = 137241000. Its totient is φ = 11119104.

The previous prime is 41961949. The next prime is 41961973. The reversal of 41961960 is 6916914.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 49284 = 6474^2 + 222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82186 + ... + 82694.

Almost surely, 2^41961960 is an apocalyptic number.

41961960 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 41961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620500).

41961960 is an abundant number, since it is smaller than the sum of its proper divisors (95279040).

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

41961960 is a wasteful number, since it uses less digits than its factorization.

41961960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 41961960 is about 6477.8051838566. The cubic root of 41961960 is about 347.4976898903.

The spelling of 41961960 in words is "forty-one million, nine hundred sixty-one thousand, nine hundred sixty".