5109379430400 has 3888 divisors, whose sum is σ = 24257803260600. Its totient is φ = 1061258526720.

The previous prime is 5109379430369. The next prime is 5109379430413. The reversal of 5109379430400 is 40349739015.

5109379430400 is a `hidden beast` number, since 5 + 109 + 3 + 79 + 430 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×5109379430400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 176185497586 + ... + 176185497614.

Almost surely, 2^{5109379430400} is an apocalyptic number.

5109379430400 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 5109379430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128901630300).

5109379430400 is an abundant number, since it is smaller than the sum of its proper divisors (19148423830200).

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

5109379430400 is a wasteful number, since it uses less digits than its factorization.

5109379430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 5109379430400 in words is "five trillion, one hundred nine billion, three hundred seventy-nine million, four hundred thirty thousand, four hundred".