4159078400 has 96 divisors (see below), whose sum is σ = 10316388630. Its totient is φ = 1663303680.

The previous prime is 4159078367. The next prime is 4159078411. The reversal of 4159078400 is 48709514.

It can be written as a sum of positive squares in 3 ways, for example, as 3949871104 + 209207296 = 62848^2 + 14464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 816662 + ... + 821738.

Almost surely, 2^4159078400 is an apocalyptic number.

4159078400 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 4159078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158194315).

4159078400 is an abundant number, since it is smaller than the sum of its proper divisors (6157310230).

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

4159078400 is an frugal number, since it uses more digits than its factorization.

4159078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5117 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 4159078400 is about 64490.9171899423. The cubic root of 4159078400 is about 1608.1715286110.

The spelling of 4159078400 in words is "four billion, one hundred fifty-nine million, seventy-eight thousand, four hundred".