10246225363440 has 640 divisors, whose sum is σ = 36361272729600. Its totient is φ = 2362589982720.

The previous prime is 10246225363393. The next prime is 10246225363447. The reversal of 10246225363440 is 4436352264201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10246225363392 and 10246225363401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10246225363447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13864986591 + ... + 13864987329.

It is an arithmetic number, because the mean of its divisors is an integer number (56814488640).

Almost surely, 2^{10246225363440} is an apocalyptic number.

10246225363440 is a gapful number since it is divisible by the number (10) 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 10246225363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18180636364800).

10246225363440 is an abundant number, since it is smaller than the sum of its proper divisors (26115047366160).

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

10246225363440 is a wasteful number, since it uses less digits than its factorization.

10246225363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 10246225363440 in words is "ten trillion, two hundred forty-six billion, two hundred twenty-five million, three hundred sixty-three thousand, four hundred forty".