10095284343040 has 288 divisors, whose sum is σ = 26741505371616. Its totient is φ = 3628550062080.

The previous prime is 10095284342911. The next prime is 10095284343049. The reversal of 10095284343040 is 4034348259001.

It can be written as a sum of positive squares in 16 ways, for example, as 7624402157824 + 2470882185216 = 2761232^2 + 1571904^2 .

It is not an unprimeable number, because it can be changed into a prime (10095284343049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98407614 + ... + 98510146.

It is an arithmetic number, because the mean of its divisors is an integer number (92852449207).

Almost surely, 2^{10095284343040} is an apocalyptic number.

10095284343040 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 10095284343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370752685808).

10095284343040 is an abundant number, since it is smaller than the sum of its proper divisors (16646221028576).

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

10095284343040 is a wasteful number, since it uses less digits than its factorization.

10095284343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102725 (or 102711 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 10095284343040 in words is "ten trillion, ninety-five billion, two hundred eighty-four million, three hundred forty-three thousand, forty".