51400354414140 has 144 divisors (see below), whose sum is σ = 157778831429856. Its totient is φ = 13543408704000.

The previous prime is 51400354414139. The next prime is 51400354414159. The reversal of 51400354414140 is 4141445300415.

51400354414140 is a `hidden beast` number, since 5 + 1 + 40 + 0 + 35 + 441 + 4 + 140 = 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 = 51400354414095 and 51400354414104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6047254 + ... + 11805506.

It is an arithmetic number, because the mean of its divisors is an integer number (1095686329374).

Almost surely, 2^{51400354414140} 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 51400354414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78889415714928).

51400354414140 is an abundant number, since it is smaller than the sum of its proper divisors (106378477015716).

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

51400354414140 is a wasteful number, since it uses less digits than its factorization.

51400354414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758860 (or 5758855 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 51400354414140 its reverse (4141445300415), we get a palindrome (55541799714555).

The spelling of 51400354414140 in words is "fifty-one trillion, four hundred billion, three hundred fifty-four million, four hundred fourteen thousand, one hundred forty".