26332400316420 has 144 divisors (see below), whose sum is σ = 87483464752320. Its totient is φ = 6358179360000.

The previous prime is 26332400316419. The next prime is 26332400316421. The reversal of 26332400316420 is 2461300423362.

26332400316420 is a `hidden beast` number, since 2 + 6 + 3 + 3 + 2 + 4 + 0 + 0 + 3 + 1 + 642 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (26332400316419) and next prime (26332400316421).

It is a super-2 number, since 2×26332400316420² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26332400316421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25995435 + ... + 26989394.

It is an arithmetic number, because the mean of its divisors is an integer number (607524060780).

Almost surely, 2^{26332400316420} is an apocalyptic number.

26332400316420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26332400316420 is an abundant number, since it is smaller than the sum of its proper divisors (61151064435900).

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

26332400316420 is a wasteful number, since it uses less digits than its factorization.

26332400316420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52985106 (or 52985101 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 26332400316420 its reverse (2461300423362), we get a palindrome (28793700739782).

The spelling of 26332400316420 in words is "twenty-six trillion, three hundred thirty-two billion, four hundred million, three hundred sixteen thousand, four hundred twenty".