4065440400 has 360 divisors, whose sum is σ = 16682652480. Its totient is φ = 897039360.

The previous prime is 4065440399. The next prime is 4065440459. The reversal of 4065440400 is 40445604.

4065440400 is a `hidden beast` number, since 4 + 0 + 654 + 4 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728019 + ... + 733581.

Almost surely, 2^4065440400 is an apocalyptic number.

4065440400 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 4065440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341326240).

4065440400 is an abundant number, since it is smaller than the sum of its proper divisors (12617212080).

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

4065440400 is a wasteful number, since it uses less digits than its factorization.

4065440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4065440400 is about 63760.8061429590. The cubic root of 4065440400 is about 1596.0109483486.

The spelling of 4065440400 in words is "four billion, sixty-five million, four hundred forty thousand, four hundred".