10242414754000 has 640 divisors, whose sum is σ = 30252742700544. Its totient is φ = 3303843840000.

The previous prime is 10242414753997. The next prime is 10242414754001. The reversal of 10242414754000 is 45741424201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242414754001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 785635482 + ... + 785648518.

Almost surely, 2^{10242414754000} is an apocalyptic number.

10242414754000 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 10242414754000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126371350272).

10242414754000 is an abundant number, since it is smaller than the sum of its proper divisors (20010327946544).

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

10242414754000 is a wasteful number, since it uses less digits than its factorization.

10242414754000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13192 (or 13176 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The spelling of 10242414754000 in words is "ten trillion, two hundred forty-two billion, four hundred fourteen million, seven hundred fifty-four thousand".