51411540013440 has 256 divisors, whose sum is σ = 165775906368000. Its totient is φ = 13550766276608.

The previous prime is 51411540013439. The next prime is 51411540013541. The reversal of 51411540013440 is 4431004511415.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481657357 + ... + 481764083.

It is an arithmetic number, because the mean of its divisors is an integer number (647562134250).

Almost surely, 2^{51411540013440} 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 51411540013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82887953184000).

51411540013440 is an abundant number, since it is smaller than the sum of its proper divisors (114364366354560).

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

51411540013440 is a wasteful number, since it uses less digits than its factorization.

51411540013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109657 (or 109645 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 51411540013440 its reverse (4431004511415), we get a palindrome (55842544524855).

The spelling of 51411540013440 in words is "fifty-one trillion, four hundred eleven billion, five hundred forty million, thirteen thousand, four hundred forty".