4048214400 has 576 divisors, whose sum is σ = 15464077200. Its totient is φ = 1006387200.

The previous prime is 4048214381. The next prime is 4048214411. The reversal of 4048214400 is 44128404.

It is a happy number.

4048214400 is a `hidden beast` number, since 4 + 0 + 48 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30902335 + ... + 30902465.

Almost surely, 2^4048214400 is an apocalyptic number.

4048214400 is a gapful number since it is divisible by the number (40) 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 4048214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7732038600).

4048214400 is an abundant number, since it is smaller than the sum of its proper divisors (11415862800).

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

4048214400 is a wasteful number, since it uses less digits than its factorization.

4048214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4048214400 is about 63625.5797616022. The cubic root of 4048214400 is about 1593.7535621604.

The spelling of 4048214400 in words is "four billion, forty-eight million, two hundred fourteen thousand, four hundred".