26380207040 has 224 divisors, whose sum is σ = 69651603648. Its totient is φ = 9515827200.

The previous prime is 26380207039. The next prime is 26380207067. The reversal of 26380207040 is 4070208362.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 26380206988 and 26380207006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102646592 + ... + 102646848.

Almost surely, 2^26380207040 is an apocalyptic number.

26380207040 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 26380207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34825801824).

26380207040 is an abundant number, since it is smaller than the sum of its proper divisors (43271396608).

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

26380207040 is a wasteful number, since it uses less digits than its factorization.

26380207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 26380207040 in words is "twenty-six billion, three hundred eighty million, two hundred seven thousand, forty".