51430445040 has 240 divisors, whose sum is σ = 173316049920. Its totient is φ = 12610391040.

The previous prime is 51430444987. The next prime is 51430445047. The reversal of 51430445040 is 4054403415.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51430444989 and 51430445007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51430445047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10989421 + ... + 10994099.

It is an arithmetic number, because the mean of its divisors is an integer number (722150208).

Almost surely, 2^51430445040 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 51430445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86658024960).

51430445040 is an abundant number, since it is smaller than the sum of its proper divisors (121885604880).

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

51430445040 is a wasteful number, since it uses less digits than its factorization.

51430445040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 51430445040 its reverse (4054403415), we get a palindrome (55484848455).

The spelling of 51430445040 in words is "fifty-one billion, four hundred thirty million, four hundred forty-five thousand, forty".