10242432304000 has 512 divisors, whose sum is σ = 27708445215360. Its totient is φ = 3742831411200.

The previous prime is 10242432303989. The next prime is 10242432304001. The reversal of 10242432304000 is 40323424201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242432304001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10747567524 + ... + 10747568476.

Almost surely, 2^{10242432304000} is an apocalyptic number.

10242432304000 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 10242432304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13854222607680).

10242432304000 is an abundant number, since it is smaller than the sum of its proper divisors (17466012911360).

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

10242432304000 is a wasteful number, since it uses less digits than its factorization.

10242432304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10242432304000 its reverse (40323424201), we get a palindrome (10282755728201).

The spelling of 10242432304000 in words is "ten trillion, two hundred forty-two billion, four hundred thirty-two million, three hundred four thousand".