41969124864 has 320 divisors, whose sum is σ = 129291814080. Its totient is φ = 13598171136.

The previous prime is 41969124863. The next prime is 41969124877. The reversal of 41969124864 is 46842196914.

It is a super-2 number, since 2×41969124864² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 41969124864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41969124863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41430022 + ... + 41431034.

It is an arithmetic number, because the mean of its divisors is an integer number (404036919).

Almost surely, 2^41969124864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41969124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64645907040).

41969124864 is an abundant number, since it is smaller than the sum of its proper divisors (87322689216).

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

41969124864 is an frugal number, since it uses more digits than its factorization.

41969124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1055 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 41969124864 in words is "forty-one billion, nine hundred sixty-nine million, one hundred twenty-four thousand, eight hundred sixty-four".