410894407002240 has 768 divisors, whose sum is σ = 1644313008499200. Its totient is φ = 92602052444160.

The previous prime is 410894407002227. The next prime is 410894407002241. The reversal of 410894407002240 is 42200704498014.

410894407002240 is a `hidden beast` number, since 4 + 1 + 0 + 89 + 440 + 70 + 0 + 22 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (410894407002241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9768990810 + ... + 9769032870.

It is an arithmetic number, because the mean of its divisors is an integer number (2141032563150).

Almost surely, 2^{410894407002240} is an apocalyptic number.

410894407002240 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 410894407002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822156504249600).

410894407002240 is an abundant number, since it is smaller than the sum of its proper divisors (1233418601496960).

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

410894407002240 is a wasteful number, since it uses less digits than its factorization.

410894407002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45485 (or 45470 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 410894407002240 in words is "four hundred ten trillion, eight hundred ninety-four billion, four hundred seven million, two thousand, two hundred forty".