10142421414000 has 160 divisors (see below), whose sum is σ = 33022922736960. Its totient is φ = 2677866880000.

The previous prime is 10142421413989. The next prime is 10142421414017. The reversal of 10142421414000 is 41412424101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7762335 + ... + 8974334.

It is an arithmetic number, because the mean of its divisors is an integer number (206393267106).

Almost surely, 2^{10142421414000} is an apocalyptic number.

10142421414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142421414000 is an abundant number, since it is smaller than the sum of its proper divisors (22880501322960).

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

10142421414000 is a wasteful number, since it uses less digits than its factorization.

10142421414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16736796 (or 16736780 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10142421414000 its reverse (41412424101), we get a palindrome (10183833838101).

It can be divided in two parts, 1014242 and 1414000, that added together give a palindrome (2428242).

The spelling of 10142421414000 in words is "ten trillion, one hundred forty-two billion, four hundred twenty-one million, four hundred fourteen thousand".