4196035768320 has 520 divisors, whose sum is σ = 16409230160400. Its totient is φ = 1017216368640.

The previous prime is 4196035768307. The next prime is 4196035768321. The reversal of 4196035768320 is 238675306914.

4196035768320 is a `hidden beast` number, since 4 + 1 + 9 + 60 + 3 + 576 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4196035768321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18132706 + ... + 18362654.

It is a 3-persistent number, because k⋅4196035768320 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{4196035768320} is an apocalyptic number.

4196035768320 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 4196035768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204615080200).

4196035768320 is an abundant number, since it is smaller than the sum of its proper divisors (12213194392080).

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

4196035768320 is a wasteful number, since it uses less digits than its factorization.

4196035768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230001 (or 229970 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 4196035768320 in words is "four trillion, one hundred ninety-six billion, thirty-five million, seven hundred sixty-eight thousand, three hundred twenty".