26202400344 has 112 divisors (see below), whose sum is σ = 73747989000. Its totient is φ = 8723769984.

The previous prime is 26202400327. The next prime is 26202400349. The reversal of 26202400344 is 44300420262.

26202400344 is a `hidden beast` number, since 2 + 620 + 2 + 4 + 0 + 0 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26202400349) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6115627 + ... + 6119909.

Almost surely, 2^26202400344 is an apocalyptic number.

26202400344 is a gapful number since it is divisible by the number (24) 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 26202400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36873994500).

26202400344 is an abundant number, since it is smaller than the sum of its proper divisors (47545588656).

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

26202400344 is a wasteful number, since it uses less digits than its factorization.

26202400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The spelling of 26202400344 in words is "twenty-six billion, two hundred two million, four hundred thousand, three hundred forty-four".