5048114400 has 720 divisors, whose sum is σ = 21778606080. Its totient is φ = 1113523200.

The previous prime is 5048114363. The next prime is 5048114411. The reversal of 5048114400 is 44118405.

It is a happy number.

5048114400 is a `hidden beast` number, since 504 + 8 + 114 + 40 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14061421 + ... + 14061779.

It is an arithmetic number, because the mean of its divisors is an integer number (30248064).

Almost surely, 2^5048114400 is an apocalyptic number.

5048114400 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 5048114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5048114400 is an abundant number, since it is smaller than the sum of its proper divisors (16730491680).

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

5048114400 is a wasteful number, since it uses less digits than its factorization.

5048114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5048114400 is about 71050.0837437930. The cubic root of 5048114400 is about 1715.4434108620.

The spelling of 5048114400 in words is "five billion, forty-eight million, one hundred fourteen thousand, four hundred".