26434405424 has 80 divisors (see below), whose sum is σ = 61654982400. Its totient is φ = 10725633792.

The previous prime is 26434405411. The next prime is 26434405507. The reversal of 26434405424 is 42450443462.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4208174 + ... + 4214450.

It is an arithmetic number, because the mean of its divisors is an integer number (770687280).

Almost surely, 2^26434405424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26434405424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30827491200).

26434405424 is an abundant number, since it is smaller than the sum of its proper divisors (35220576976).

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

26434405424 is a wasteful number, since it uses less digits than its factorization.

26434405424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8290 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

Adding to 26434405424 its reverse (42450443462), we get a palindrome (68884848886).

The spelling of 26434405424 in words is "twenty-six billion, four hundred thirty-four million, four hundred five thousand, four hundred twenty-four".