26143413840 has 240 divisors, whose sum is σ = 90161010576. Its totient is φ = 6784819200.

The previous prime is 26143413839. The next prime is 26143413871. The reversal of 26143413840 is 4831434162.

26143413840 is a `hidden beast` number, since 2 + 614 + 3 + 4 + 1 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11105787456 + 15037626384 = 105384^2 + 122628^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×26143413840³ (a number of 32 digits) contains 333 as substring.

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 = 26143413795 and 26143413804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15969502 + ... + 15971138.

Almost surely, 2^26143413840 is an apocalyptic number.

26143413840 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 26143413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080505288).

26143413840 is an abundant number, since it is smaller than the sum of its proper divisors (64017596736).

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

26143413840 is a wasteful number, since it uses less digits than its factorization.

26143413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26143413840 in words is "twenty-six billion, one hundred forty-three million, four hundred thirteen thousand, eight hundred forty".