51140536040 has 256 divisors, whose sum is σ = 138661632000. Its totient is φ = 16765056000.

The previous prime is 51140536039. The next prime is 51140536049. The reversal of 51140536040 is 4063504115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 51140535994 and 51140536012.

It is not an unprimeable number, because it can be changed into a prime (51140536049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17211755 + ... + 17214725.

It is an arithmetic number, because the mean of its divisors is an integer number (541647000).

Almost surely, 2^51140536040 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 51140536040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69330816000).

51140536040 is an abundant number, since it is smaller than the sum of its proper divisors (87521095960).

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

51140536040 is a wasteful number, since it uses less digits than its factorization.

51140536040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 51140536040 in words is "fifty-one billion, one hundred forty million, five hundred thirty-six thousand, forty".