409963069440 has 456 divisors, whose sum is σ = 1483975479168. Its totient is φ = 104501084160.

The previous prime is 409963069429. The next prime is 409963069457. The reversal of 409963069440 is 44960369904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271318285 + ... + 271319795.

Almost surely, 2^409963069440 is an apocalyptic number.

409963069440 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 409963069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741987739584).

409963069440 is an abundant number, since it is smaller than the sum of its proper divisors (1074012409728).

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

409963069440 is an equidigital number, since it uses as much as digits as its factorization.

409963069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 409963069440 in words is "four hundred nine billion, nine hundred sixty-three million, sixty-nine thousand, four hundred forty".