10311341040000 has 5120 divisors, whose sum is σ = 53961126912000. Its totient is φ = 1866240000000.

The previous prime is 10311341039957. The next prime is 10311341040061. The reversal of 10311341040000 is 4014311301.

10311341040000 is a `hidden beast` number, since 10 + 311 + 341 + 0 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 41081039875 + ... + 41081040125.

It is an arithmetic number, because the mean of its divisors is an integer number (10539282600).

Almost surely, 2^{10311341040000} is an apocalyptic number.

10311341040000 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 10311341040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980563456000).

10311341040000 is an abundant number, since it is smaller than the sum of its proper divisors (43649785872000).

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

10311341040000 is a wasteful number, since it uses less digits than its factorization.

10311341040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10311341040000 its reverse (4014311301), we get a palindrome (10315355351301).

The spelling of 10311341040000 in words is "ten trillion, three hundred eleven billion, three hundred forty-one million, forty thousand".