410117614104 has 128 divisors (see below), whose sum is σ = 1143193927680. Its totient is φ = 121562179200.

The previous prime is 410117614103. The next prime is 410117614147. The reversal of 410117614104 is 401416711014.

410117614104 = 75967² + 75968² + ... + 76037².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410117614103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2294347 + ... + 2466629.

It is an arithmetic number, because the mean of its divisors is an integer number (8931202560).

Almost surely, 2^410117614104 is an apocalyptic number.

410117614104 is a gapful number since it is divisible by the number (44) 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 410117614104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571596963840).

410117614104 is an abundant number, since it is smaller than the sum of its proper divisors (733076313576).

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

410117614104 is a wasteful number, since it uses less digits than its factorization.

410117614104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172501 (or 172497 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 410117614104 in words is "four hundred ten billion, one hundred seventeen million, six hundred fourteen thousand, one hundred four".