5406169310400 has 504 divisors, whose sum is σ = 18628767844752. Its totient is φ = 1372197888000.

The previous prime is 5406169310389. The next prime is 5406169310401. The reversal of 5406169310400 is 40139616045.

It is a super-2 number, since 2×5406169310400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5406169310401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 281371194 + ... + 281390406.

Almost surely, 2^{5406169310400} is an apocalyptic number.

5406169310400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406169310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314383922376).

5406169310400 is an abundant number, since it is smaller than the sum of its proper divisors (13222598534352).

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

5406169310400 is a wasteful number, since it uses less digits than its factorization.

5406169310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19361 (or 19315 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 5406169310400 in words is "five trillion, four hundred six billion, one hundred sixty-nine million, three hundred ten thousand, four hundred".