410083378560 has 896 divisors, whose sum is σ = 1571283684000. Its totient is φ = 101937512448.

The previous prime is 410083378501. The next prime is 410083378613. The reversal of 410083378560 is 65873380014.

410083378560 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 83 + 3 + 7 + 8 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1181796307 + ... + 1181796653.

Almost surely, 2^410083378560 is an apocalyptic number.

410083378560 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 410083378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785641842000).

410083378560 is an abundant number, since it is smaller than the sum of its proper divisors (1161200305440).

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

410083378560 is a wasteful number, since it uses less digits than its factorization.

410083378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 410083378560 in words is "four hundred ten billion, eighty-three million, three hundred seventy-eight thousand, five hundred sixty".