4069022544000 has 384 divisors, whose sum is σ = 14788979412480. Its totient is φ = 1071996364800.

The previous prime is 4069022543983. The next prime is 4069022544043. The reversal of 4069022544000 is 4452209604.

4069022544000 is a `hidden beast` number, since 4 + 0 + 6 + 90 + 22 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11781777 + ... + 12122223.

It is an arithmetic number, because the mean of its divisors is an integer number (38512967220).

Almost surely, 2^{4069022544000} is an apocalyptic number.

4069022544000 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 4069022544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394489706240).

4069022544000 is an abundant number, since it is smaller than the sum of its proper divisors (10719956868480).

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

4069022544000 is a wasteful number, since it uses less digits than its factorization.

4069022544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340565 (or 340540 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4069022544000 in words is "four trillion, sixty-nine billion, twenty-two million, five hundred forty-four thousand".