41970960000 has 960 divisors, whose sum is σ = 167022535680. Its totient is φ = 10450944000.

The previous prime is 41970959999. The next prime is 41970960029. The reversal of 41970960000 is 6907914.

41970960000 is a `hidden beast` number, since 41 + 9 + 7 + 0 + 9 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×41970960000² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 330479937 + ... + 330480063.

It is an arithmetic number, because the mean of its divisors is an integer number (173981808).

Almost surely, 2^41970960000 is an apocalyptic number.

41970960000 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 41970960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83511267840).

41970960000 is an abundant number, since it is smaller than the sum of its proper divisors (125051575680).

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

41970960000 is an equidigital number, since it uses as much as digits as its factorization.

41970960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 41970960000 in words is "forty-one billion, nine hundred seventy million, nine hundred sixty thousand".