41967304404480 has 1920 divisors, whose sum is σ = 186520693911552. Its totient is φ = 8484568694784.

The previous prime is 41967304404451. The next prime is 41967304404521. The reversal of 41967304404480 is 8440440376914.

It is a happy number.

41967304404480 is a `hidden beast` number, since 4 + 1 + 96 + 7 + 30 + 4 + 40 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×41967304404480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4778238169 + ... + 4778246951.

Almost surely, 2^{41967304404480} is an apocalyptic number.

41967304404480 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 41967304404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93260346955776).

41967304404480 is an abundant number, since it is smaller than the sum of its proper divisors (144553389507072).

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

41967304404480 is a wasteful number, since it uses less digits than its factorization.

41967304404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 41967304404480 in words is "forty-one trillion, nine hundred sixty-seven billion, three hundred four million, four hundred four thousand, four hundred eighty".