410291980800 has 720 divisors, whose sum is σ = 1554403815360. Its totient is φ = 95028510720.

The previous prime is 410291980793. The next prime is 410291980807. The reversal of 410291980800 is 8089192014.

It is an interprime number because it is at equal distance from previous prime (410291980793) and next prime (410291980807).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410291980807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 110321341 + ... + 110325059.

It is an arithmetic number, because the mean of its divisors is an integer number (2158894188).

Almost surely, 2^410291980800 is an apocalyptic number.

410291980800 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 410291980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777201907680).

410291980800 is an abundant number, since it is smaller than the sum of its proper divisors (1144111834560).

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

410291980800 is a wasteful number, since it uses less digits than its factorization.

410291980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3793 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 410291980800 in words is "four hundred ten billion, two hundred ninety-one million, nine hundred eighty thousand, eight hundred".