51440145120 has 1728 divisors, whose sum is σ = 238921353216. Its totient is φ = 10346434560.

The previous prime is 51440145101. The next prime is 51440145149. The reversal of 51440145120 is 2154104415.

51440145120 is a `hidden beast` number, since 5 + 144 + 0 + 1 + 4 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 767763327 + ... + 767763393.

It is an arithmetic number, because the mean of its divisors is an integer number (138264672).

Almost surely, 2^51440145120 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 51440145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119460676608).

51440145120 is an abundant number, since it is smaller than the sum of its proper divisors (187481208096).

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

51440145120 is a wasteful number, since it uses less digits than its factorization.

51440145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 51440145120 its reverse (2154104415), we get a palindrome (53594249535).

The spelling of 51440145120 in words is "fifty-one billion, four hundred forty million, one hundred forty-five thousand, one hundred twenty".