26040731472144 has 45 divisors (see below), whose sum is σ = 72878051815959. Its totient is φ = 8680223412000.

The previous prime is 26040731472131. The next prime is 26040731472167. The reversal of 26040731472144 is 44127413704062.

The square root of 26040731472144 is 5103012.

It is a perfect power (a square), and thus also a powerful number.

26040731472144 is a `hidden beast` number, since 2 + 6 + 0 + 4 + 0 + 7 + 31 + 472 + 144 = 666.

It is a super-2 number, since 2×26040731472144² (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 26040731472144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61023519 + ... + 61448769.

Almost surely, 2^{26040731472144} is an apocalyptic number.

26040731472144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26040731472144 is the 5103012-nd square number.

It is an amenable number.

26040731472144 is an abundant number, since it is smaller than the sum of its proper divisors (46837320343815).

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

26040731472144 is an frugal number, since it uses more digits than its factorization.

26040731472144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850516 (or 425256 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 26040731472144 in words is "twenty-six trillion, forty billion, seven hundred thirty-one million, four hundred seventy-two thousand, one hundred forty-four".