51434101106640 has 240 divisors, whose sum is σ = 202744357066368. Its totient is φ = 11438626305024.

The previous prime is 51434101106617. The next prime is 51434101106693. The reversal of 51434101106640 is 4660110143415.

51434101106640 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 4 + 1 + 0 + 1 + 1 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 51434101106595 and 51434101106604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137721342 + ... + 138094301.

Almost surely, 2^{51434101106640} is an apocalyptic number.

It is an amenable number.

51434101106640 is an abundant number, since it is smaller than the sum of its proper divisors (151310255959728).

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

51434101106640 is a wasteful number, since it uses less digits than its factorization.

51434101106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275815706 (or 275815697 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 51434101106640 in words is "fifty-one trillion, four hundred thirty-four billion, one hundred one million, one hundred six thousand, six hundred forty".