40881329141760 has 1152 divisors, whose sum is σ = 153130366771200. Its totient is φ = 10057407528960.

The previous prime is 40881329141753. The next prime is 40881329141777. The reversal of 40881329141760 is 6714192318804.

40881329141760 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 132 + 91 + 417 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40881329141697 and 40881329141706.

It is a congruent number.

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, 23589917854 + ... + 23589919586.

It is an arithmetic number, because the mean of its divisors is an integer number (132925665600).

Almost surely, 2^{40881329141760} is an apocalyptic number.

40881329141760 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 40881329141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76565183385600).

40881329141760 is an abundant number, since it is smaller than the sum of its proper divisors (112249037629440).

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

40881329141760 is a wasteful number, since it uses less digits than its factorization.

40881329141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 40881329141760 in words is "forty trillion, eight hundred eighty-one billion, three hundred twenty-nine million, one hundred forty-one thousand, seven hundred sixty".