26456430840 has 192 divisors, whose sum is σ = 92527142400. Its totient is φ = 6034113792.

The previous prime is 26456430821. The next prime is 26456430907. The reversal of 26456430840 is 4803465462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 26456430792 and 26456430801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2858941 + ... + 2868179.

It is an arithmetic number, because the mean of its divisors is an integer number (481912200).

Almost surely, 2^26456430840 is an apocalyptic number.

26456430840 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 26456430840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46263571200).

26456430840 is an abundant number, since it is smaller than the sum of its proper divisors (66070711560).

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

26456430840 is a wasteful number, since it uses less digits than its factorization.

26456430840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 26456430840 in words is "twenty-six billion, four hundred fifty-six million, four hundred thirty thousand, eight hundred forty".