410114112144 has 160 divisors (see below), whose sum is σ = 1202244301440. Its totient is φ = 119327846400.

The previous prime is 410114112077. The next prime is 410114112167. The reversal of 410114112144 is 441211411014.

It is a super-2 number, since 2×410114112144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2697484 + ... + 2845460.

It is an arithmetic number, because the mean of its divisors is an integer number (7514026884).

Almost surely, 2^410114112144 is an apocalyptic number.

410114112144 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 410114112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601122150720).

410114112144 is an abundant number, since it is smaller than the sum of its proper divisors (792130189296).

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

410114112144 is a wasteful number, since it uses less digits than its factorization.

410114112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148209 (or 148203 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 410114112144 its reverse (441211411014), we get a palindrome (851325523158).

The spelling of 410114112144 in words is "four hundred ten billion, one hundred fourteen million, one hundred twelve thousand, one hundred forty-four".