26400044424 has 64 divisors (see below), whose sum is σ = 71246226240. Its totient is φ = 8103755520.

The previous prime is 26400044423. The next prime is 26400044441. The reversal of 26400044424 is 42444000462.

It is a junction number, because it is equal to n+sod(n) for n = 26400044391 and 26400044400.

It is not an unprimeable number, because it can be changed into a prime (26400044423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30859 + ... + 231845.

It is an arithmetic number, because the mean of its divisors is an integer number (1113222285).

Almost surely, 2^26400044424 is an apocalyptic number.

26400044424 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 26400044424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35623113120).

26400044424 is an abundant number, since it is smaller than the sum of its proper divisors (44846181816).

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

26400044424 is a wasteful number, since it uses less digits than its factorization.

26400044424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201430 (or 201426 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 26400044424 its reverse (42444000462), we get a palindrome (68844044886).

The spelling of 26400044424 in words is "twenty-six billion, four hundred million, forty-four thousand, four hundred twenty-four".