10240414323000 has 128 divisors (see below), whose sum is σ = 32729363634240. Its totient is φ = 2664172800000.

The previous prime is 10240414322969. The next prime is 10240414323001. The reversal of 10240414323000 is 32341404201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240414323001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41504701 + ... + 41750700.

Almost surely, 2^{10240414323000} is an apocalyptic number.

10240414323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240414323000 is an abundant number, since it is smaller than the sum of its proper divisors (22488949311240).

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

10240414323000 is a wasteful number, since it uses less digits than its factorization.

10240414323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83255466 (or 83255452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10240414323000 its reverse (32341404201), we get a palindrome (10272755727201).

The spelling of 10240414323000 in words is "ten trillion, two hundred forty billion, four hundred fourteen million, three hundred twenty-three thousand".