5434113484800 has 6480 divisors, whose sum is σ = 29344587412140. Its totient is φ = 980995276800.

The previous prime is 5434113484781. The next prime is 5434113484819. The reversal of 5434113484800 is 84843114345.

5434113484800 is a `hidden beast` number, since 5 + 4 + 34 + 1 + 134 + 8 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5434113484781) and next prime (5434113484819).

It can be written as a sum of positive squares in 6 ways, for example, as 1711868691456 + 3722244793344 = 1308384^2 + 1929312^2 .

It is a tau number, because it is divible by the number of its divisors (6480).

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 539 ways as a sum of consecutive naturals, for example, 319653734392 + ... + 319653734408.

Almost surely, 2^{5434113484800} is an apocalyptic number.

5434113484800 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 5434113484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672293706070).

5434113484800 is an abundant number, since it is smaller than the sum of its proper divisors (23910473927340).

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

5434113484800 is a wasteful number, since it uses less digits than its factorization.

5434113484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 5434113484800 in words is "five trillion, four hundred thirty-four billion, one hundred thirteen million, four hundred eighty-four thousand, eight hundred".