10142432404300 has 72 divisors (see below), whose sum is σ = 25159916162304. Its totient is φ = 3476481368640.

The previous prime is 10142432404283. The next prime is 10142432404301. The reversal of 10142432404300 is 340423424101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10142432404301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713727 + ... + 4560073.

It is an arithmetic number, because the mean of its divisors is an integer number (349443280032).

Almost surely, 2^{10142432404300} is an apocalyptic number.

10142432404300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142432404300 is an abundant number, since it is smaller than the sum of its proper divisors (15017483758004).

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

10142432404300 is a wasteful number, since it uses less digits than its factorization.

10142432404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850135 (or 3850128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10142432404300 its reverse (340423424101), we get a palindrome (10482855828401).

The spelling of 10142432404300 in words is "ten trillion, one hundred forty-two billion, four hundred thirty-two million, four hundred four thousand, three hundred".