26401200210462 has 128 divisors (see below), whose sum is σ = 69733187048448. Its totient is φ = 6451373260800.

The previous prime is 26401200210457. The next prime is 26401200210487.

26401200210462 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18092262 + ... + 19496982.

It is an arithmetic number, because the mean of its divisors is an integer number (544790523816).

Almost surely, 2^{26401200210462} is an apocalyptic number.

26401200210462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26401200210462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34866593524224).

26401200210462 is an abundant number, since it is smaller than the sum of its proper divisors (43331986837986).

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

26401200210462 is a wasteful number, since it uses less digits than its factorization.

26401200210462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407154.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 26401200 and 210462, that added together give a palindrome (26611662).

The spelling of 26401200210462 in words is "twenty-six trillion, four hundred one billion, two hundred million, two hundred ten thousand, four hundred sixty-two".