26291341440 has 384 divisors, whose sum is σ = 111740428800. Its totient is φ = 5547073536.

The previous prime is 26291341387. The next prime is 26291341457. The reversal of 26291341440 is 4414319262.

26291341440 is a `hidden beast` number, since 2 + 629 + 13 + 4 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×26291341440² (a number of 22 digits) contains 22 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 = 26291341395 and 26291341404.

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, 499081 + ... + 549239.

It is an arithmetic number, because the mean of its divisors is an integer number (290990700).

Almost surely, 2^26291341440 is an apocalyptic number.

26291341440 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 26291341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55870214400).

26291341440 is an abundant number, since it is smaller than the sum of its proper divisors (85449087360).

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

26291341440 is a wasteful number, since it uses less digits than its factorization.

26291341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50204 (or 50189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 26291341440 in words is "twenty-six billion, two hundred ninety-one million, three hundred forty-one thousand, four hundred forty".