10069411648440 has 256 divisors, whose sum is σ = 30694422528000. Its totient is φ = 2642329059840.

The previous prime is 10069411648433. The next prime is 10069411648459. The reversal of 10069411648440 is 4484611496001.

10069411648440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10069411648440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2829279381 + ... + 2829282939.

It is an arithmetic number, because the mean of its divisors is an integer number (119900088000).

Almost surely, 2^{10069411648440} is an apocalyptic number.

10069411648440 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 10069411648440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15347211264000).

10069411648440 is an abundant number, since it is smaller than the sum of its proper divisors (20625010879560).

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

10069411648440 is a wasteful number, since it uses less digits than its factorization.

10069411648440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090 (or 5086 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 10069411648440 in words is "ten trillion, sixty-nine billion, four hundred eleven million, six hundred forty-eight thousand, four hundred forty".