4242034325760 has 1152 divisors, whose sum is σ = 17490848514048. Its totient is φ = 850341888000.

The previous prime is 4242034325731. The next prime is 4242034325773. The reversal of 4242034325760 is 675234302424.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 4280558865 + ... + 4280559855.

It is an arithmetic number, because the mean of its divisors is an integer number (15183028224).

Almost surely, 2^{4242034325760} is an apocalyptic number.

4242034325760 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 4242034325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8745424257024).

4242034325760 is an abundant number, since it is smaller than the sum of its proper divisors (13248814188288).

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

4242034325760 is a wasteful number, since it uses less digits than its factorization.

4242034325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 4242034325760 in words is "four trillion, two hundred forty-two billion, thirty-four million, three hundred twenty-five thousand, seven hundred sixty".