4069828800 has 420 divisors, whose sum is σ = 15457480896. Its totient is φ = 1049241600.

The previous prime is 4069828793. The next prime is 4069828813. The reversal of 4069828800 is 88289604.

It is a happy number.

It is a super-2 number, since 2×4069828800² = 33127012922618880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4017094 + ... + 4018106.

Almost surely, 2^4069828800 is an apocalyptic number.

4069828800 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 4069828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728740448).

4069828800 is an abundant number, since it is smaller than the sum of its proper divisors (11387652096).

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

4069828800 is a wasteful number, since it uses less digits than its factorization.

4069828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4069828800 is about 63795.2098515241. The cubic root of 4069828800 is about 1596.5850079959.

The spelling of 4069828800 in words is "four billion, sixty-nine million, eight hundred twenty-eight thousand, eight hundred".