4069971360 has 1440 divisors, whose sum is σ = 19709418960. Its totient is φ = 780337152.

The previous prime is 4069971329. The next prime is 4069971421. The reversal of 4069971360 is 631799604.

4069971360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1605444624 + 2464526736 = 40068^2 + 49644^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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 239 ways as a sum of consecutive naturals, for example, 140343826 + ... + 140343854.

Almost surely, 2^4069971360 is an apocalyptic number.

4069971360 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 4069971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9854709480).

4069971360 is an abundant number, since it is smaller than the sum of its proper divisors (15639447600).

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

4069971360 is a wasteful number, since it uses less digits than its factorization.

4069971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 4069971360 is about 63796.3271670086. The cubic root of 4069971360 is about 1596.6036497711.

The spelling of 4069971360 in words is "four billion, sixty-nine million, nine hundred seventy-one thousand, three hundred sixty".