4065846400 has 384 divisors, whose sum is σ = 12976848000. Its totient is φ = 1221427200.

The previous prime is 4065846373. The next prime is 4065846419. The reversal of 4065846400 is 46485604.

It is a super-5 number, since 5×4065846400⁵ (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4065846400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7145316 + ... + 7145884.

It is an arithmetic number, because the mean of its divisors is an integer number (33793875).

Almost surely, 2^4065846400 is an apocalyptic number.

4065846400 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 4065846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488424000).

4065846400 is an abundant number, since it is smaller than the sum of its proper divisors (8911001600).

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

4065846400 is a wasteful number, since it uses less digits than its factorization.

4065846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 4065846400 is about 63763.9898375251. The cubic root of 4065846400 is about 1596.0640757519.

It can be divided in two parts, 406 and 5846400, that multiplied together give a square (2373638400 = 48720²).

The spelling of 4065846400 in words is "four billion, sixty-five million, eight hundred forty-six thousand, four hundred".