26212416634144 has 48 divisors (see below), whose sum is σ = 58844503195128. Its totient is φ = 11386389123072.

The previous prime is 26212416634141. The next prime is 26212416634147. The reversal of 26212416634144 is 44143661421262.

It is an interprime number because it is at equal distance from previous prime (26212416634141) and next prime (26212416634147).

It can be written as a sum of positive squares in 4 ways, for example, as 25154357529744 + 1058059104400 = 5015412^2 + 1028620^2 .

It is a super-4 number, since 4×26212416634144⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 26212416634094 and 26212416634103.

It is not an unprimeable number, because it can be changed into a prime (26212416634141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1853246367 + ... + 1853260510.

Almost surely, 2^{26212416634144} is an apocalyptic number.

It is an amenable number.

26212416634144 is an abundant number, since it is smaller than the sum of its proper divisors (32632086560984).

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

26212416634144 is a wasteful number, since it uses less digits than its factorization.

26212416634144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706506917 (or 3706506909 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 26212416634144 in words is "twenty-six trillion, two hundred twelve billion, four hundred sixteen million, six hundred thirty-four thousand, one hundred forty-four".