32403134504100 has 144 divisors (see below), whose sum is σ = 94079424531456. Its totient is φ = 8610771792000.

The previous prime is 32403134504077. The next prime is 32403134504101. The reversal of 32403134504100 is 140543130423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32403134504101) 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, 368211105 + ... + 368299095.

It is an arithmetic number, because the mean of its divisors is an integer number (653329337024).

Almost surely, 2^{32403134504100} is an apocalyptic number.

32403134504100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32403134504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47039712265728).

32403134504100 is an abundant number, since it is smaller than the sum of its proper divisors (61676290027356).

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

32403134504100 is a wasteful number, since it uses less digits than its factorization.

32403134504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92266 (or 92259 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 32403134504100 its reverse (140543130423), we get a palindrome (32543677634523).

The spelling of 32403134504100 in words is "thirty-two trillion, four hundred three billion, one hundred thirty-four million, five hundred four thousand, one hundred".