26974409440 has 192 divisors, whose sum is σ = 75542906880. Its totient is φ = 8992512000.

The previous prime is 26974409419. The next prime is 26974409447. The reversal of 26974409440 is 4490447962.

It is a super-2 number, since 2×26974409440² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26974409447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1023630 + ... + 1049650.

It is an arithmetic number, because the mean of its divisors is an integer number (393452640).

Almost surely, 2^26974409440 is an apocalyptic number.

26974409440 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 26974409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37771453440).

26974409440 is an abundant number, since it is smaller than the sum of its proper divisors (48568497440).

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

26974409440 is a wasteful number, since it uses less digits than its factorization.

26974409440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26097 (or 26089 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 26974409440 in words is "twenty-six billion, nine hundred seventy-four million, four hundred nine thousand, four hundred forty".