5234049122400 has 2304 divisors, whose sum is σ = 23417701171200. Its totient is φ = 1115600947200.

The previous prime is 5234049122399. The next prime is 5234049122429. The reversal of 5234049122400 is 42219404325.

It is a happy number.

5234049122400 is a `hidden beast` number, since 5 + 2 + 3 + 404 + 9 + 1 + 2 + 240 + 0 = 666.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19313834265 + ... + 19313834535.

It is an arithmetic number, because the mean of its divisors is an integer number (10163932800).

Almost surely, 2^{5234049122400} is an apocalyptic number.

5234049122400 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 5234049122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708850585600).

5234049122400 is an abundant number, since it is smaller than the sum of its proper divisors (18183652048800).

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

5234049122400 is a wasteful number, since it uses less digits than its factorization.

5234049122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 5234049122400 in words is "five trillion, two hundred thirty-four billion, forty-nine million, one hundred twenty-two thousand, four hundred".