51031445040 has 300 divisors, whose sum is σ = 185293338384. Its totient is φ = 13015842048.

The previous prime is 51031445033. The next prime is 51031445041. The reversal of 51031445040 is 4054413015.

It is a happy number.

51031445040 is a `hidden beast` number, since 5 + 10 + 3 + 144 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51031444995 and 51031445013.

It is not an unprimeable number, because it can be changed into a prime (51031445041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3420477 + ... + 3435363.

Almost surely, 2^51031445040 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 51031445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92646669192).

51031445040 is an abundant number, since it is smaller than the sum of its proper divisors (134261893344).

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

51031445040 is a wasteful number, since it uses less digits than its factorization.

51031445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14958 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51031445040 its reverse (4054413015), we get a palindrome (55085858055).

The spelling of 51031445040 in words is "fifty-one billion, thirty-one million, four hundred forty-five thousand, forty".