51000451040 has 384 divisors, whose sum is σ = 158896152576. Its totient is φ = 15003648000.

The previous prime is 51000451031. The next prime is 51000451049. The reversal of 51000451040 is 4015400015.

It is an interprime number because it is at equal distance from previous prime (51000451031) and next prime (51000451049).

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 (51000451049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15657092 + ... + 15660348.

It is an arithmetic number, because the mean of its divisors is an integer number (413792064).

Almost surely, 2^51000451040 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 51000451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79448076288).

51000451040 is an abundant number, since it is smaller than the sum of its proper divisors (107895701536).

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

51000451040 is a wasteful number, since it uses less digits than its factorization.

51000451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3354 counting only the distinct ones).

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

Adding to 51000451040 its reverse (4015400015), we get a palindrome (55015851055).

The spelling of 51000451040 in words is "fifty-one billion, four hundred fifty-one thousand, forty".