51343435440 has 640 divisors, whose sum is σ = 205701120000. Its totient is φ = 11646581760.

The previous prime is 51343435427. The next prime is 51343435457. The reversal of 51343435440 is 4453434315.

51343435440 is a `hidden beast` number, since 51 + 34 + 34 + 3 + 544 + 0 = 666.

It is a super-2 number, since 2×51343435440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51343435395 and 51343435404.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25683561 + ... + 25685559.

It is an arithmetic number, because the mean of its divisors is an integer number (321408000).

Almost surely, 2^51343435440 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 51343435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560000).

51343435440 is an abundant number, since it is smaller than the sum of its proper divisors (154357684560).

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

51343435440 is a wasteful number, since it uses less digits than its factorization.

51343435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 51343435440 its reverse (4453434315), we get a palindrome (55796869755).

The spelling of 51343435440 in words is "fifty-one billion, three hundred forty-three million, four hundred thirty-five thousand, four hundred forty".