5119014344400 has 720 divisors, whose sum is σ = 20896983132480. Its totient is φ = 1146977280000.

The previous prime is 5119014344383. The next prime is 5119014344447. The reversal of 5119014344400 is 44434109115.

5119014344400 is a `hidden beast` number, since 51 + 190 + 14 + 3 + 4 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5119014344400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 30765430 + ... + 30931370.

It is an arithmetic number, because the mean of its divisors is an integer number (29023587684).

Almost surely, 2^{5119014344400} is an apocalyptic number.

5119014344400 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 5119014344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448491566240).

5119014344400 is an abundant number, since it is smaller than the sum of its proper divisors (15777968788080).

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

5119014344400 is a wasteful number, since it uses less digits than its factorization.

5119014344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166036 (or 166022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 5119014344400 in words is "five trillion, one hundred nineteen billion, fourteen million, three hundred forty-four thousand, four hundred".