41461066321920 has 2080 divisors, whose sum is σ = 176744428185600. Its totient is φ = 9097775677440.

The previous prime is 41461066321919. The next prime is 41461066321921. The reversal of 41461066321920 is 2912366016414.

41461066321920 is a `hidden beast` number, since 4 + 1 + 4 + 6 + 1 + 0 + 6 + 632 + 1 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41461066321919) and next prime (41461066321921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41461066321921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53636566654 + ... + 53636567426.

Almost surely, 2^{41461066321920} is an apocalyptic number.

41461066321920 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 41461066321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88372214092800).

41461066321920 is an abundant number, since it is smaller than the sum of its proper divisors (135283361863680).

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

41461066321920 is a wasteful number, since it uses less digits than its factorization.

41461066321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 41461066321920 in words is "forty-one trillion, four hundred sixty-one billion, sixty-six million, three hundred twenty-one thousand, nine hundred twenty".