51041340195840 has 264 divisors, whose sum is σ = 177433044909120. Its totient is φ = 13566684708864.

The previous prime is 51041340195773. The next prime is 51041340195851. The reversal of 51041340195840 is 4859104314015.

51041340195840 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 13 + 40 + 19 + 584 + 0 = 666.

51041340195840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 12342541 + ... + 15950579.

It is an arithmetic number, because the mean of its divisors is an integer number (672094867080).

Almost surely, 2^{51041340195840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51041340195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88716522454560).

51041340195840 is an abundant number, since it is smaller than the sum of its proper divisors (126391704713280).

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

51041340195840 is a wasteful number, since it uses less digits than its factorization.

51041340195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608377 (or 3608356 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 51041340195840 in words is "fifty-one trillion, forty-one billion, three hundred forty million, one hundred ninety-five thousand, eight hundred forty".