26136271440 has 120 divisors (see below), whose sum is σ = 87963396768. Its totient is φ = 6954658560.

The previous prime is 26136271423. The next prime is 26136271457. The reversal of 26136271440 is 4417263162.

26136271440 is a `hidden beast` number, since 2 + 6 + 13 + 627 + 14 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26136271423) and next prime (26136271457).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 26136271395 and 26136271404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297375 + ... + 375105.

Almost surely, 2^26136271440 is an apocalyptic number.

26136271440 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 26136271440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43981698384).

26136271440 is an abundant number, since it is smaller than the sum of its proper divisors (61827125328).

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

26136271440 is a wasteful number, since it uses less digits than its factorization.

26136271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78217 (or 78208 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26136271440 in words is "twenty-six billion, one hundred thirty-six million, two hundred seventy-one thousand, four hundred forty".