41962656890880 has 2160 divisors, whose sum is σ = 170096665495680. Its totient is φ = 9884695265280.

The previous prime is 41962656890839. The next prime is 41962656890941. The reversal of 41962656890880 is 8809865626914.

41962656890880 is a `hidden beast` number, since 419 + 6 + 2 + 6 + 56 + 89 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×41962656890880³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 41962656890799 and 41962656890808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 301889617851 + ... + 301889617989.

It is an arithmetic number, because the mean of its divisors is an integer number (78748456248).

Almost surely, 2^{41962656890880} is an apocalyptic number.

41962656890880 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 41962656890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85048332747840).

41962656890880 is an abundant number, since it is smaller than the sum of its proper divisors (128134008604800).

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

41962656890880 is an equidigital number, since it uses as much as digits as its factorization.

41962656890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 41962656890880 in words is "forty-one trillion, nine hundred sixty-two billion, six hundred fifty-six million, eight hundred ninety thousand, eight hundred eighty".