4078624320000 has 400 divisors, whose sum is σ = 15086466785280. Its totient is φ = 1087630848000.

The previous prime is 4078624319983. The next prime is 4078624320019. The reversal of 4078624320000 is 234268704.

4078624320000 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 624 + 3 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8403969 + ... + 8876031.

Almost surely, 2^{4078624320000} is an apocalyptic number.

4078624320000 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 4078624320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7543233392640).

4078624320000 is an abundant number, since it is smaller than the sum of its proper divisors (11007842465280).

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

4078624320000 is an frugal number, since it uses more digits than its factorization.

4078624320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472110 (or 472073 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 4078624320000 its reverse (234268704), we get a palindrome (4078858588704).

The spelling of 4078624320000 in words is "four trillion, seventy-eight billion, six hundred twenty-four million, three hundred twenty thousand".