411604610000 has 100 divisors (see below), whose sum is σ = 996937605972. Its totient is φ = 164575488000.

The previous prime is 411604609963. The next prime is 411604610101. The reversal of 411604610000 is 16406114.

It can be written as a sum of positive squares in 10 ways, for example, as 182083130944 + 229521479056 = 426712^2 + 479084^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30363224 + ... + 30376776.

Almost surely, 2^411604610000 is an apocalyptic number.

411604610000 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 411604610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498468802986).

411604610000 is an abundant number, since it is smaller than the sum of its proper divisors (585332995972).

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

411604610000 is a wasteful number, since it uses less digits than its factorization.

411604610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618 (or 16597 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 411604610000 in words is "four hundred eleven billion, six hundred four million, six hundred ten thousand".