51138041240 has 288 divisors, whose sum is σ = 138527852400. Its totient is φ = 16967808000.

The previous prime is 51138041221. The next prime is 51138041243. The reversal of 51138041240 is 4214083115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51138041243) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82613651 + ... + 82614269.

Almost surely, 2^51138041240 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 51138041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69263926200).

51138041240 is an abundant number, since it is smaller than the sum of its proper divisors (87389811160).

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

51138041240 is a wasteful number, since it uses less digits than its factorization.

51138041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 51138041240 in words is "fifty-one billion, one hundred thirty-eight million, forty-one thousand, two hundred forty".