10242010442400 has 216 divisors, whose sum is σ = 36643967573472. Its totient is φ = 2482911552000.

The previous prime is 10242010442399. The next prime is 10242010442429. The reversal of 10242010442400 is 424401024201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17343916 + ... + 17924715.

Almost surely, 2^{10242010442400} is an apocalyptic number.

10242010442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242010442400 is an abundant number, since it is smaller than the sum of its proper divisors (26401957131072).

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

10242010442400 is a wasteful number, since it uses less digits than its factorization.

10242010442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35268676 (or 35268652 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10242010442400 its reverse (424401024201), we get a palindrome (10666411466601).

The spelling of 10242010442400 in words is "ten trillion, two hundred forty-two billion, ten million, four hundred forty-two thousand, four hundred".