26449367040 has 624 divisors, whose sum is σ = 101569448448. Its totient is φ = 6332350464.

The previous prime is 26449367029. The next prime is 26449367047. The reversal of 26449367040 is 4076394462.

It is a happy number.

26449367040 is a `hidden beast` number, since 2 + 64 + 493 + 67 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26449367047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72068937 + ... + 72069303.

It is an arithmetic number, because the mean of its divisors is an integer number (162771552).

Almost surely, 2^26449367040 is an apocalyptic number.

26449367040 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 26449367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50784724224).

26449367040 is an abundant number, since it is smaller than the sum of its proper divisors (75120081408).

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

26449367040 is a wasteful number, since it uses less digits than its factorization.

26449367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 26449367040 in words is "twenty-six billion, four hundred forty-nine million, three hundred sixty-seven thousand, forty".