51400305408 has 288 divisors, whose sum is σ = 149653504000. Its totient is φ = 15601766400.

The previous prime is 51400305371. The next prime is 51400305413. The reversal of 51400305408 is 80450300415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90017763 + ... + 90018333.

Almost surely, 2^51400305408 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 51400305408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74826752000).

51400305408 is an abundant number, since it is smaller than the sum of its proper divisors (98253198592).

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

51400305408 is a wasteful number, since it uses less digits than its factorization.

51400305408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 51400305408 in words is "fifty-one billion, four hundred million, three hundred five thousand, four hundred eight".