51441120 has 144 divisors (see below), whose sum is σ = 177493680. Its totient is φ = 13565952.

The previous prime is 51441119. The next prime is 51441127. The reversal of 51441120 is 2114415.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51441093 and 51441102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51441127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200032 + ... + 200288.

It is an arithmetic number, because the mean of its divisors is an integer number (1232595).

Almost surely, 2^51441120 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 51441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88746840).

51441120 is an abundant number, since it is smaller than the sum of its proper divisors (126052560).

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

51441120 is a wasteful number, since it uses less digits than its factorization.

51441120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51441120 is about 7172.2465099856. The cubic root of 51441120 is about 371.9091002320.

Adding to 51441120 its reverse (2114415), we get a palindrome (53555535).

The spelling of 51441120 in words is "fifty-one million, four hundred forty-one thousand, one hundred twenty".