41401449538560 has 528 divisors, whose sum is σ = 147941118889200. Its totient is φ = 10698746757120.

The previous prime is 41401449538549. The next prime is 41401449538571. The reversal of 41401449538560 is 6583594410414.

41401449538560 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 1 + 4 + 49 + 5 + 38 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (41401449538549) and next prime (41401449538571).

It can be written as a sum of positive squares in 8 ways, for example, as 21258443833344 + 20143005705216 = 4610688^2 + 4488096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41401449538497 and 41401449538506.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281429184 + ... + 281576256.

Almost surely, 2^{41401449538560} is an apocalyptic number.

41401449538560 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 41401449538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73970559444600).

41401449538560 is an abundant number, since it is smaller than the sum of its proper divisors (106539669350640).

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

41401449538560 is a wasteful number, since it uses less digits than its factorization.

41401449538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147294 (or 147273 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 41401449538560 in words is "forty-one trillion, four hundred one billion, four hundred forty-nine million, five hundred thirty-eight thousand, five hundred sixty".