4078921600 has 192 divisors, whose sum is σ = 11012107680. Its totient is φ = 1483776000.

The previous prime is 4078921589. The next prime is 4078921603. The reversal of 4078921600 is 61298704.

It is a self number, because there is not a number n which added to its sum of digits gives 4078921600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078921603) 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 23 ways as a sum of consecutive naturals, for example, 2952910 + ... + 2954290.

Almost surely, 2^4078921600 is an apocalyptic number.

4078921600 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 4078921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506053840).

4078921600 is an abundant number, since it is smaller than the sum of its proper divisors (6933186080).

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

4078921600 is a wasteful number, since it uses less digits than its factorization.

4078921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 4078921600 is about 63866.4356293664. The cubic root of 4078921600 is about 1597.7731521558.

The spelling of 4078921600 in words is "four billion, seventy-eight million, nine hundred twenty-one thousand, six hundred".