51343356200040 has 96 divisors (see below), whose sum is σ = 167043237028200. Its totient is φ = 13677011550720.

The previous prime is 51343356199987. The next prime is 51343356200047. The reversal of 51343356200040 is 4000265334315.

51343356200040 is a `hidden beast` number, since 5 + 13 + 43 + 3 + 562 + 0 + 0 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50480541861156 + 862814338884 = 7104966^2 + 928878^2 .

It is a super-2 number, since 2×51343356200040² (a number of 28 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 = 51343356199968 and 51343356200004.

It is not an unprimeable number, because it can be changed into a prime (51343356200047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75442555 + ... + 76120074.

Almost surely, 2^{51343356200040} is an apocalyptic number.

It is an amenable number.

51343356200040 is an abundant number, since it is smaller than the sum of its proper divisors (115699880828160).

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

51343356200040 is a wasteful number, since it uses less digits than its factorization.

51343356200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151563587 (or 151563580 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 51343356200040 in words is "fifty-one trillion, three hundred forty-three billion, three hundred fifty-six million, two hundred thousand, forty".