26464134382400 has 2016 divisors, whose sum is σ = 85341593725920. Its totient is φ = 7988104396800.

The previous prime is 26464134382393. The next prime is 26464134382421. The reversal of 26464134382400 is 428343146462.

It can be written as a sum of positive squares in 48 ways, for example, as 14830632315136 + 11633502067264 = 3851056^2 + 3410792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 115563905486 + ... + 115563905714.

It is an arithmetic number, because the mean of its divisors is an integer number (42332139745).

Almost surely, 2^{26464134382400} is an apocalyptic number.

26464134382400 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 26464134382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42670796862960).

26464134382400 is an abundant number, since it is smaller than the sum of its proper divisors (58877459343520).

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

26464134382400 is a wasteful number, since it uses less digits than its factorization.

26464134382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 47.

The spelling of 26464134382400 in words is "twenty-six trillion, four hundred sixty-four billion, one hundred thirty-four million, three hundred eighty-two thousand, four hundred".