4069344000 has 576 divisors, whose sum is σ = 14999362560. Its totient is φ = 973209600.

The previous prime is 4069343951. The next prime is 4069344011. The reversal of 4069344000 is 4439604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41951952 + ... + 41952048.

It is an arithmetic number, because the mean of its divisors is an integer number (26040560).

Almost surely, 2^4069344000 is an apocalyptic number.

4069344000 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 4069344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

4069344000 is an abundant number, since it is smaller than the sum of its proper divisors (10930018560).

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

4069344000 is a wasteful number, since it uses less digits than its factorization.

4069344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4069344000 is about 63791.4100800413. The cubic root of 4069344000 is about 1596.5216101491.

The spelling of 4069344000 in words is "four billion, sixty-nine million, three hundred forty-four thousand".