10245602311040 has 64 divisors (see below), whose sum is σ = 24735902022720. Its totient is φ = 4057664256000.

The previous prime is 10245602311039. The next prime is 10245602311069. The reversal of 10245602311040 is 4011320654201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×10245602311040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10245602310994 and 10245602311012.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 79186616 + ... + 79315895.

It is an arithmetic number, because the mean of its divisors is an integer number (386498469105).

Almost surely, 2^{10245602311040} is an apocalyptic number.

10245602311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245602311040 is an abundant number, since it is smaller than the sum of its proper divisors (14490299711680).

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

10245602311040 is a wasteful number, since it uses less digits than its factorization.

10245602311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158502631 (or 158502619 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10245602311040 its reverse (4011320654201), we get a palindrome (14256922965241).

The spelling of 10245602311040 in words is "ten trillion, two hundred forty-five billion, six hundred two million, three hundred eleven thousand, forty".