2409323112144 has 180 divisors, whose sum is σ = 7305752937600. Its totient is φ = 740881140480.

The previous prime is 2409323112137. The next prime is 2409323112173. The reversal of 2409323112144 is 4412113239042.

2409323112144 is a `hidden beast` number, since 2 + 40 + 93 + 2 + 311 + 214 + 4 = 666.

It is a super-2 number, since 2×2409323112144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2409323112099 and 2409323112108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41317729 + ... + 41375999.

It is an arithmetic number, because the mean of its divisors is an integer number (40587516320).

Almost surely, 2^{2409323112144} is an apocalyptic number.

2409323112144 is a gapful number since it is divisible by the number (24) 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 2409323112144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652876468800).

2409323112144 is an abundant number, since it is smaller than the sum of its proper divisors (4896429825456).

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

2409323112144 is a wasteful number, since it uses less digits than its factorization.

2409323112144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60010 (or 59988 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2409323112144 in words is "two trillion, four hundred nine billion, three hundred twenty-three million, one hundred twelve thousand, one hundred forty-four".