10242340404000 has 384 divisors, whose sum is σ = 37072364539392. Its totient is φ = 2458859110400.

The previous prime is 10242340403921. The next prime is 10242340404053. The reversal of 10242340404000 is 40404324201.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 3600532 + ... + 5783468.

It is an arithmetic number, because the mean of its divisors is an integer number (96542615988).

Almost surely, 2^{10242340404000} is an apocalyptic number.

10242340404000 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 10242340404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536182269696).

10242340404000 is an abundant number, since it is smaller than the sum of its proper divisors (26830024135392).

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

10242340404000 is a wasteful number, since it uses less digits than its factorization.

10242340404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183005 (or 2182987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10242340404000 its reverse (40404324201), we get a palindrome (10282744728201).

The spelling of 10242340404000 in words is "ten trillion, two hundred forty-two billion, three hundred forty million, four hundred four thousand".