26414132128704 has 224 divisors, whose sum is σ = 80084219043840. Its totient is φ = 8532230805504.

The previous prime is 26414132128693. The next prime is 26414132128739. The reversal of 26414132128704 is 40782123141462.

26414132128704 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 41 + 321 + 287 + 0 + 4 = 666.

It is a super-2 number, since 2×26414132128704² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26414132128704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8037052 + ... + 10836164.

Almost surely, 2^{26414132128704} is an apocalyptic number.

26414132128704 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 26414132128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40042109521920).

26414132128704 is an abundant number, since it is smaller than the sum of its proper divisors (53670086915136).

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

26414132128704 is a wasteful number, since it uses less digits than its factorization.

26414132128704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799304 (or 2799288 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 26414132128704 in words is "twenty-six trillion, four hundred fourteen billion, one hundred thirty-two million, one hundred twenty-eight thousand, seven hundred four".