26731280040 has 256 divisors, whose sum is σ = 83607552000. Its totient is φ = 6832465920.

The previous prime is 26731280021. The next prime is 26731280047. The reversal of 26731280040 is 4008213762.

It is a super-2 number, since 2×26731280040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26731279983 and 26731280010.

It is not an unprimeable number, because it can be changed into a prime (26731280047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111846241 + ... + 111846479.

It is an arithmetic number, because the mean of its divisors is an integer number (326592000).

Almost surely, 2^26731280040 is an apocalyptic number.

26731280040 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 26731280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803776000).

26731280040 is an abundant number, since it is smaller than the sum of its proper divisors (56876271960).

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

26731280040 is a wasteful number, since it uses less digits than its factorization.

26731280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 26731280040 in words is "twenty-six billion, seven hundred thirty-one million, two hundred eighty thousand, forty".