26014249440 has 192 divisors, whose sum is σ = 91283008320. Its totient is φ = 6919372800.

The previous prime is 26014249427. The next prime is 26014249441. The reversal of 26014249440 is 4494241062.

It is a happy number.

26014249440 is a `hidden beast` number, since 2 + 601 + 4 + 2 + 4 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26014249395 and 26014249404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26014249441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1724812 + ... + 1739828.

It is an arithmetic number, because the mean of its divisors is an integer number (475432335).

Almost surely, 2^26014249440 is an apocalyptic number.

26014249440 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 26014249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45641504160).

26014249440 is an abundant number, since it is smaller than the sum of its proper divisors (65268758880).

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

26014249440 is a wasteful number, since it uses less digits than its factorization.

26014249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26014249440 in words is "twenty-six billion, fourteen million, two hundred forty-nine thousand, four hundred forty".