26430243840 has 1408 divisors, whose sum is σ = 126773821440. Its totient is φ = 5042995200.

The previous prime is 26430243823. The next prime is 26430243857. The reversal of 26430243840 is 4834203462.

26430243840 is a `hidden beast` number, since 2 + 643 + 0 + 2 + 4 + 3 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26430243823) and next prime (26430243857).

It is a tau number, because it is divible by the number of its divisors (1408).

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 = 26430243795 and 26430243804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378145 + ... + 138378335.

Almost surely, 2^26430243840 is an apocalyptic number.

26430243840 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 26430243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63386910720).

26430243840 is an abundant number, since it is smaller than the sum of its proper divisors (100343577600).

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

26430243840 is a wasteful number, since it uses less digits than its factorization.

26430243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26430243840 in words is "twenty-six billion, four hundred thirty million, two hundred forty-three thousand, eight hundred forty".