5409172810314 has 1152 divisors, whose sum is σ = 16489251717120. Its totient is φ = 1248962457600.

The previous prime is 5409172810277. The next prime is 5409172810367. The reversal of 5409172810314 is 4130182719045.

5409172810314 is a `hidden beast` number, since 5 + 40 + 9 + 17 + 281 + 0 + 314 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5409172810314.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34453329924 + ... + 34453330080.

It is an arithmetic number, because the mean of its divisors is an integer number (14313586560).

Almost surely, 2^{5409172810314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5409172810314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8244625858560).

5409172810314 is an abundant number, since it is smaller than the sum of its proper divisors (11080078906806).

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

5409172810314 is a wasteful number, since it uses less digits than its factorization.

5409172810314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 5409172810314 in words is "five trillion, four hundred nine billion, one hundred seventy-two million, eight hundred ten thousand, three hundred fourteen".