26131406340 has 96 divisors (see below), whose sum is σ = 78898216320. Its totient is φ = 6424022016.

The previous prime is 26131406311. The next prime is 26131406347. The reversal of 26131406340 is 4360413162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 26131406298 and 26131406307.

It is not an unprimeable number, because it can be changed into a prime (26131406347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592576 + ... + 635144.

It is an arithmetic number, because the mean of its divisors is an integer number (821856420).

Almost surely, 2^26131406340 is an apocalyptic number.

26131406340 is a gapful number since it is divisible by the number (20) 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 26131406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39449108160).

26131406340 is an abundant number, since it is smaller than the sum of its proper divisors (52766809980).

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

26131406340 is a wasteful number, since it uses less digits than its factorization.

26131406340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43381 (or 43379 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

It can be divided in two parts, 26 and 131406340, that added together give a triangular number (131406366 = T₁₆₂₁₁).

The spelling of 26131406340 in words is "twenty-six billion, one hundred thirty-one million, four hundred six thousand, three hundred forty".