4069564416000 has 680 divisors, whose sum is σ = 15176106066264. Its totient is φ = 1085040230400.

The previous prime is 4069564415999. The next prime is 4069564416077. The reversal of 4069564416000 is 6144659604.

It is a happy number.

4069564416000 is a `hidden beast` number, since 40 + 6 + 9 + 564 + 41 + 6 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33129824256 + 4036434591744 = 182016^2 + 2009088^2 .

It is a super-2 number, since 2×4069564416000² (a number of 26 digits) 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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 663548934 + ... + 663555066.

Almost surely, 2^{4069564416000} is an apocalyptic number.

4069564416000 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 4069564416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588053033132).

4069564416000 is an abundant number, since it is smaller than the sum of its proper divisors (11106541650264).

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

4069564416000 is an frugal number, since it uses more digits than its factorization.

4069564416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6192 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4069564416000 in words is "four trillion, sixty-nine billion, five hundred sixty-four million, four hundred sixteen thousand".