4246248465840 has 640 divisors, whose sum is σ = 14831230740480. Its totient is φ = 998689996800.

The previous prime is 4246248465829. The next prime is 4246248465841. The reversal of 4246248465840 is 485648426424.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4246248465841) 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 127 ways as a sum of consecutive naturals, for example, 3119946760 + ... + 3119948120.

It is an arithmetic number, because the mean of its divisors is an integer number (23173798032).

Almost surely, 2^{4246248465840} is an apocalyptic number.

4246248465840 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 4246248465840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415615370240).

4246248465840 is an abundant number, since it is smaller than the sum of its proper divisors (10584982274640).

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

4246248465840 is a wasteful number, since it uses less digits than its factorization.

4246248465840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 57.

The spelling of 4246248465840 in words is "four trillion, two hundred forty-six billion, two hundred forty-eight million, four hundred sixty-five thousand, eight hundred forty".