51414211365342 has 128 divisors (see below), whose sum is σ = 119697028328448. Its totient is φ = 14418456192000.

The previous prime is 51414211365331. The next prime is 51414211365383. The reversal of 51414211365342 is 24356311241415.

It is a super-2 number, since 2×51414211365342² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51414211365294 and 51414211365303.

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, 8159687592 + ... + 8159693892.

It is an arithmetic number, because the mean of its divisors is an integer number (935133033816).

Almost surely, 2^{51414211365342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51414211365342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59848514164224).

51414211365342 is an abundant number, since it is smaller than the sum of its proper divisors (68282816963106).

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

51414211365342 is a wasteful number, since it uses less digits than its factorization.

51414211365342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12594.

The product of its digits is 345600, while the sum is 42.

The spelling of 51414211365342 in words is "fifty-one trillion, four hundred fourteen billion, two hundred eleven million, three hundred sixty-five thousand, three hundred forty-two".