51408361440 has 576 divisors, whose sum is σ = 186810624000. Its totient is φ = 12855398400.

The previous prime is 51408361429. The next prime is 51408361447. The reversal of 51408361440 is 4416380415.

51408361440 is a `hidden beast` number, since 514 + 0 + 83 + 61 + 4 + 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 = 51408361395 and 51408361404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51408361447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345022486 + ... + 345022634.

It is an arithmetic number, because the mean of its divisors is an integer number (324324000).

Almost surely, 2^51408361440 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 51408361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312000).

51408361440 is an abundant number, since it is smaller than the sum of its proper divisors (135402262560).

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

51408361440 is a wasteful number, since it uses less digits than its factorization.

51408361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 51408361440 in words is "fifty-one billion, four hundred eight million, three hundred sixty-one thousand, four hundred forty".