4242260671968 has 192 divisors, whose sum is σ = 12791332270080. Its totient is φ = 1217525644800.

The previous prime is 4242260671951. The next prime is 4242260672003. The reversal of 4242260671968 is 8691760622424.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74750163 + ... + 74806893.

It is an arithmetic number, because the mean of its divisors is an integer number (66621522240).

Almost surely, 2^{4242260671968} is an apocalyptic number.

4242260671968 is a gapful number since it is divisible by the number (48) 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 4242260671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395666135040).

4242260671968 is an abundant number, since it is smaller than the sum of its proper divisors (8549071598112).

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

4242260671968 is a wasteful number, since it uses less digits than its factorization.

4242260671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60501 (or 60493 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 4242260671968 in words is "four trillion, two hundred forty-two billion, two hundred sixty million, six hundred seventy-one thousand, nine hundred sixty-eight".