41724265968 has 960 divisors, whose sum is σ = 162439603200. Its totient is φ = 10119997440.

The previous prime is 41724265967. The next prime is 41724265969. The reversal of 41724265968 is 86956242714.

41724265968 is a `hidden beast` number, since 4 + 1 + 7 + 2 + 42 + 6 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (41724265967) and next prime (41724265969).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5806080) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41724265967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249845821 + ... + 249845987.

It is an arithmetic number, because the mean of its divisors is an integer number (169207920).

Almost surely, 2^41724265968 is an apocalyptic number.

41724265968 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 41724265968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81219801600).

41724265968 is an abundant number, since it is smaller than the sum of its proper divisors (120715337232).

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

41724265968 is a wasteful number, since it uses less digits than its factorization.

41724265968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 41724265968 in words is "forty-one billion, seven hundred twenty-four million, two hundred sixty-five thousand, nine hundred sixty-eight".