51034340141440 has 256 divisors, whose sum is σ = 131043780288000. Its totient is φ = 18937636945920.

The previous prime is 51034340141429. The next prime is 51034340141461. The reversal of 51034340141440 is 4414104343015.

51034340141440 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 (34).

It is a junction number, because it is equal to n+sod(n) for n = 51034340141396 and 51034340141405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 231557695 + ... + 231777985.

It is an arithmetic number, because the mean of its divisors is an integer number (511889766750).

Almost surely, 2^{51034340141440} 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 51034340141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65521890144000).

51034340141440 is an abundant number, since it is smaller than the sum of its proper divisors (80009440146560).

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

51034340141440 is a wasteful number, since it uses less digits than its factorization.

51034340141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220633 (or 220621 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 51034340141440 its reverse (4414104343015), we get a palindrome (55448444484455).

The spelling of 51034340141440 in words is "fifty-one trillion, thirty-four billion, three hundred forty million, one hundred forty-one thousand, four hundred forty".