41971211642880 has 1152 divisors, whose sum is σ = 161274555187200. Its totient is φ = 10030230798336.

The previous prime is 41971211642879. The next prime is 41971211642933. The reversal of 41971211642880 is 8824611217914.

It is a happy number.

41971211642880 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 121 + 16 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7151336586 + ... + 7151342454.

It is an arithmetic number, because the mean of its divisors is an integer number (139995273600).

Almost surely, 2^{41971211642880} is an apocalyptic number.

41971211642880 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 41971211642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637277593600).

41971211642880 is an abundant number, since it is smaller than the sum of its proper divisors (119303343544320).

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

41971211642880 is a wasteful number, since it uses less digits than its factorization.

41971211642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 41971211642880 in words is "forty-one trillion, nine hundred seventy-one billion, two hundred eleven million, six hundred forty-two thousand, eight hundred eighty".