10242442414000 has 80 divisors (see below), whose sum is σ = 24767291577600. Its totient is φ = 4096800652800.

The previous prime is 10242442413947. The next prime is 10242442414063. The reversal of 10242442414000 is 41424424201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10242442414000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10242442414000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52701004 + ... + 52894996.

It is an arithmetic number, because the mean of its divisors is an integer number (309591144720).

Almost surely, 2^{10242442414000} is an apocalyptic number.

10242442414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242442414000 is an abundant number, since it is smaller than the sum of its proper divisors (14524849163600).

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

10242442414000 is a wasteful number, since it uses less digits than its factorization.

10242442414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220415 (or 220399 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10242442414000 its reverse (41424424201), we get a palindrome (10283866838201).

The spelling of 10242442414000 in words is "ten trillion, two hundred forty-two billion, four hundred forty-two million, four hundred fourteen thousand".