4048212000 has 192 divisors, whose sum is σ = 15156820224. Its totient is φ = 925286400.

The previous prime is 4048211977. The next prime is 4048212011. The reversal of 4048212000 is 2128404.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59904 + ... + 108096.

It is an arithmetic number, because the mean of its divisors is an integer number (78941772).

Almost surely, 2^4048212000 is an apocalyptic number.

4048212000 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 4048212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578410112).

4048212000 is an abundant number, since it is smaller than the sum of its proper divisors (11108608224).

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

4048212000 is a wasteful number, since it uses less digits than its factorization.

4048212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48228 (or 48210 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4048212000 is about 63625.5609012604. The cubic root of 4048212000 is about 1593.7532472060.

The spelling of 4048212000 in words is "four billion, forty-eight million, two hundred twelve thousand".