26400400324 has 27 divisors (see below), whose sum is σ = 46619008807. Its totient is φ = 13081750784.

The previous prime is 26400400303. The next prime is 26400400381. The reversal of 26400400324 is 42300400462.

The square root of 26400400324 is 162482.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1081225924 + 25319174400 = 32882^2 + 159120^2 .

It is a super-2 number, since 2×26400400324² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44519772 + ... + 44520364.

Almost surely, 2^26400400324 is an apocalyptic number.

26400400324 is the 162482-nd square number.

It is an amenable number.

26400400324 is a deficient number, since it is larger than the sum of its proper divisors (20218608483).

26400400324 is an frugal number, since it uses more digits than its factorization.

26400400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Multiplying 26400400324 by its sum of digits (25), we get a square (660010008100 = 812410²).

Adding to 26400400324 its reverse (42300400462), we get a palindrome (68700800786).

The spelling of 26400400324 in words is "twenty-six billion, four hundred million, four hundred thousand, three hundred twenty-four".