410989041600 has 672 divisors, whose sum is σ = 1408657340160. Its totient is φ = 104852520960.

The previous prime is 410989041587. The next prime is 410989041601. The reversal of 410989041600 is 6140989014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410989041601) 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, 2375659114 + ... + 2375659286.

It is an arithmetic number, because the mean of its divisors is an integer number (2096216280).

Almost surely, 2^410989041600 is an apocalyptic number.

410989041600 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 410989041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704328670080).

410989041600 is an abundant number, since it is smaller than the sum of its proper divisors (997668298560).

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

410989041600 is a wasteful number, since it uses less digits than its factorization.

410989041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 410989041600 in words is "four hundred ten billion, nine hundred eighty-nine million, forty-one thousand, six hundred".