4006864400 has 480 divisors, whose sum is σ = 13019166720. Its totient is φ = 1147392000.

The previous prime is 4006864391. The next prime is 4006864409. The reversal of 4006864400 is 44686004.

It is an interprime number because it is at equal distance from previous prime (4006864391) and next prime (4006864409).

It is not an unprimeable number, because it can be changed into a prime (4006864409) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 23993117 + ... + 23993283.

It is an arithmetic number, because the mean of its divisors is an integer number (27123264).

Almost surely, 2^4006864400 is an apocalyptic number.

4006864400 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 4006864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509583360).

4006864400 is an abundant number, since it is smaller than the sum of its proper divisors (9012302320).

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

4006864400 is a wasteful number, since it uses less digits than its factorization.

4006864400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 4006864400 is about 63299.7977879867. The cubic root of 4006864400 is about 1588.3085793452.

It can be divided in two parts, 400 and 6864400, that multiplied together give a square (2745760000 = 52400²).

The spelling of 4006864400 in words is "four billion, six million, eight hundred sixty-four thousand, four hundred".