4193264038320 has 480 divisors, whose sum is σ = 17035920345600. Its totient is φ = 902938669056.

The previous prime is 4193264038307. The next prime is 4193264038321. The reversal of 4193264038320 is 238304623914.

4193264038320 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 264 + 0 + 383 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4193264038321) 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, 17018724 + ... + 17263356.

It is an arithmetic number, because the mean of its divisors is an integer number (35491500720).

Almost surely, 2^{4193264038320} is an apocalyptic number.

4193264038320 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 4193264038320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517960172800).

4193264038320 is an abundant number, since it is smaller than the sum of its proper divisors (12842656307280).

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

4193264038320 is a wasteful number, since it uses less digits than its factorization.

4193264038320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244857 (or 244848 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 4193264038320 in words is "four trillion, one hundred ninety-three billion, two hundred sixty-four million, thirty-eight thousand, three hundred twenty".