10414324213000 has 64 divisors (see below), whose sum is σ = 25652124950400. Its totient is φ = 3946480747200.

The previous prime is 10414324212997. The next prime is 10414324213009. The reversal of 10414324213000 is 31242341401.

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 (10414324213009) 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 15 ways as a sum of consecutive naturals, for example, 274042164 + ... + 274080163.

It is an arithmetic number, because the mean of its divisors is an integer number (400814452350).

Almost surely, 2^{10414324213000} is an apocalyptic number.

10414324213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414324213000 is an abundant number, since it is smaller than the sum of its proper divisors (15237800737400).

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

10414324213000 is a wasteful number, since it uses less digits than its factorization.

10414324213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548122367 (or 548122353 counting only the distinct ones).

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

Adding to 10414324213000 its reverse (31242341401), we get a palindrome (10445566554401).

The spelling of 10414324213000 in words is "ten trillion, four hundred fourteen billion, three hundred twenty-four million, two hundred thirteen thousand".