4242301014000 has 320 divisors, whose sum is σ = 15792221233152. Its totient is φ = 959671296000.

The previous prime is 4242301013989. The next prime is 4242301014013. The reversal of 4242301014000 is 4101032424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 3553345 + ... + 4594655.

Almost surely, 2^{4242301014000} is an apocalyptic number.

4242301014000 is a gapful number since it is divisible by the number (40) 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 4242301014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896110616576).

4242301014000 is an abundant number, since it is smaller than the sum of its proper divisors (11549920219152).

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

4242301014000 is a wasteful number, since it uses less digits than its factorization.

4242301014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041441 (or 1041425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4242301014000 its reverse (4101032424), we get a palindrome (4246402046424).

The spelling of 4242301014000 in words is "four trillion, two hundred forty-two billion, three hundred one million, fourteen thousand".