26421226400 has 72 divisors (see below), whose sum is σ = 66244158540. Its totient is φ = 10282844160.

The previous prime is 26421226373. The next prime is 26421226409. The reversal of 26421226400 is 462212462.

It can be written as a sum of positive squares in 6 ways, for example, as 12573585424 + 13847640976 = 112132^2 + 117676^2 .

It is not an unprimeable number, because it can be changed into a prime (26421226409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 416705 + ... + 475904.

Almost surely, 2^26421226400 is an apocalyptic number.

26421226400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26421226400 is an abundant number, since it is smaller than the sum of its proper divisors (39822932140).

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

26421226400 is a wasteful number, since it uses less digits than its factorization.

26421226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892666 (or 892653 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 26421226400 its reverse (462212462), we get a palindrome (26883438862).

The spelling of 26421226400 in words is "twenty-six billion, four hundred twenty-one million, two hundred twenty-six thousand, four hundred".