51145040 has 80 divisors (see below), whose sum is σ = 125991936. Its totient is φ = 19276800.

The previous prime is 51145033. The next prime is 51145049. The reversal of 51145040 is 4054115.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51145049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101429 + ... + 101931.

Almost surely, 2^51145040 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 51145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62995968).

51145040 is an abundant number, since it is smaller than the sum of its proper divisors (74846896).

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

51145040 is a wasteful number, since it uses less digits than its factorization.

51145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 51145040 is about 7151.5760500746. The cubic root of 51145040 is about 371.1941936394.

Adding to 51145040 its reverse (4054115), we get a palindrome (55199155).

The spelling of 51145040 in words is "fifty-one million, one hundred forty-five thousand, forty".