4268420248624 has 40 divisors (see below), whose sum is σ = 9948949456640. Its totient is φ = 1733042806848.

The previous prime is 4268420248613. The next prime is 4268420248627.

It is a happy number.

4268420248624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×4268420248624³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4268420248627) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1002916164 + ... + 1002920419.

It is an arithmetic number, because the mean of its divisors is an integer number (248723736416).

Almost surely, 2^{4268420248624} is an apocalyptic number.

It is an amenable number.

4268420248624 is an abundant number, since it is smaller than the sum of its proper divisors (5680529208016).

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

4268420248624 is a wasteful number, since it uses less digits than its factorization.

4268420248624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005836617 (or 2005836611 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 52.

The spelling of 4268420248624 in words is "four trillion, two hundred sixty-eight billion, four hundred twenty million, two hundred forty-eight thousand, six hundred twenty-four".