51424338240 has 448 divisors, whose sum is σ = 198973440000. Its totient is φ = 12399298560.

The previous prime is 51424338233. The next prime is 51424338253. The reversal of 51424338240 is 4283342415.

51424338240 is a `hidden beast` number, since 5 + 142 + 433 + 82 + 4 + 0 = 666.

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 = 51424338195 and 51424338204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18911601 + ... + 18914319.

Almost surely, 2^51424338240 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 51424338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99486720000).

51424338240 is an abundant number, since it is smaller than the sum of its proper divisors (147549101760).

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

51424338240 is a wasteful number, since it uses less digits than its factorization.

51424338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 51424338240 in words is "fifty-one billion, four hundred twenty-four million, three hundred thirty-eight thousand, two hundred forty".