51434204430 has 128 divisors (see below), whose sum is σ = 143155289088. Its totient is φ = 11583931392.

The previous prime is 51434204417. The next prime is 51434204473. The reversal of 51434204430 is 3440243415.

It is a super-3 number, since 3×51434204430³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6915994 + ... + 6923426.

It is an arithmetic number, because the mean of its divisors is an integer number (1118400696).

Almost surely, 2^51434204430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51434204430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71577644544).

51434204430 is an abundant number, since it is smaller than the sum of its proper divisors (91721084658).

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

51434204430 is a wasteful number, since it uses less digits than its factorization.

51434204430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7930.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 51434204430 its reverse (3440243415), we get a palindrome (54874447845).

The spelling of 51434204430 in words is "fifty-one billion, four hundred thirty-four million, two hundred four thousand, four hundred thirty".