10142412324000 has 1536 divisors, whose sum is σ = 38946618547200. Its totient is φ = 2283724800000.

The previous prime is 10142412323947. The next prime is 10142412324017. The reversal of 10142412324000 is 42321424101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14305235646 + ... + 14305236354.

It is an arithmetic number, because the mean of its divisors is an integer number (25355871450).

Almost surely, 2^{10142412324000} is an apocalyptic number.

10142412324000 is a gapful number since it is divisible by the number (10) 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 10142412324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19473309273600).

10142412324000 is an abundant number, since it is smaller than the sum of its proper divisors (28804206223200).

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

10142412324000 is a wasteful number, since it uses less digits than its factorization.

10142412324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10142412324000 its reverse (42321424101), we get a palindrome (10184733748101).

The spelling of 10142412324000 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, three hundred twenty-four thousand".