26240129190144 has 135 divisors (see below), whose sum is σ = 78245516896393. Its totient is φ = 8746463849472.

The previous prime is 26240129190127. The next prime is 26240129190211. The reversal of 26240129190144 is 44109192104262.

The square root of 26240129190144 is 5122512.

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

26240129190144 is a `hidden beast` number, since 2 + 62 + 401 + 2 + 91 + 90 + 14 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4272985094400 + 21967144095744 = 2067120^2 + 4686912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 26240129190144.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 737623942 + ... + 737659514.

Almost surely, 2^{26240129190144} is an apocalyptic number.

26240129190144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

26240129190144 is the 5122512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26240129190144

26240129190144 is an abundant number, since it is smaller than the sum of its proper divisors (52005387706249).

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

26240129190144 is an frugal number, since it uses more digits than its factorization.

26240129190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71174 (or 35578 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 26240129190144 in words is "twenty-six trillion, two hundred forty billion, one hundred twenty-nine million, one hundred ninety thousand, one hundred forty-four".