410871448447040 has 2016 divisors, whose sum is σ = 1270405221765120. Its totient is φ = 126024450048000.

The previous prime is 410871448447039. The next prime is 410871448447063. The reversal of 410871448447040 is 40744844178014.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1719127399241 + ... + 1719127399479.

It is an arithmetic number, because the mean of its divisors is an integer number (630161320320).

Almost surely, 2^{410871448447040} is an apocalyptic number.

410871448447040 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 410871448447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635202610882560).

410871448447040 is an abundant number, since it is smaller than the sum of its proper divisors (859533773318080).

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

410871448447040 is a wasteful number, since it uses less digits than its factorization.

410871448447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 12845056, while the sum is 56.

The spelling of 410871448447040 in words is "four hundred ten trillion, eight hundred seventy-one billion, four hundred forty-eight million, four hundred forty-seven thousand, forty".