8132340400 has 30 divisors (see below), whose sum is σ = 19537948772. Its totient is φ = 3252936000.

The previous prime is 8132340397. The next prime is 8132340407. The reversal of 8132340400 is 40432318.

It is a super-2 number, since 2×8132340400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8132340407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10165026 + ... + 10165825.

Almost surely, 2^8132340400 is an apocalyptic number.

8132340400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8132340400 is an abundant number, since it is smaller than the sum of its proper divisors (11405608372).

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

8132340400 is a wasteful number, since it uses less digits than its factorization.

8132340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20330869 (or 20330858 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 8132340400 is about 90179.4899076281. The cubic root of 8132340400 is about 2010.9681070261.

Adding to 8132340400 its reverse (40432318), we get a palindrome (8172772718).

The spelling of 8132340400 in words is "eight billion, one hundred thirty-two million, three hundred forty thousand, four hundred".