26412353124144 has 160 divisors (see below), whose sum is σ = 77863210435584. Its totient is φ = 7642897551360.

The previous prime is 26412353124083. The next prime is 26412353124169. The reversal of 26412353124144 is 44142135321462.

It is a super-3 number, since 3×26412353124144³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 26412353124096 and 26412353124105.

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, 12730617 + ... + 14659239.

Almost surely, 2^{26412353124144} is an apocalyptic number.

26412353124144 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 26412353124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38931605217792).

26412353124144 is an abundant number, since it is smaller than the sum of its proper divisors (51450857311440).

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

26412353124144 is a wasteful number, since it uses less digits than its factorization.

26412353124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929955 (or 1929949 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The spelling of 26412353124144 in words is "twenty-six trillion, four hundred twelve billion, three hundred fifty-three million, one hundred twenty-four thousand, one hundred forty-four".