4064199693120 has 672 divisors, whose sum is σ = 16757837919360. Its totient is φ = 924536954880.

The previous prime is 4064199693067. The next prime is 4064199693121. The reversal of 4064199693120 is 213969914604.

It is a happy number.

4064199693120 is a `hidden beast` number, since 40 + 6 + 419 + 9 + 69 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4064199693121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89306212 + ... + 89351708.

Almost surely, 2^{4064199693120} is an apocalyptic number.

4064199693120 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 4064199693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378918959680).

4064199693120 is an abundant number, since it is smaller than the sum of its proper divisors (12693638226240).

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

4064199693120 is a wasteful number, since it uses less digits than its factorization.

4064199693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45748 (or 45725 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 4064199693120 in words is "four trillion, sixty-four billion, one hundred ninety-nine million, six hundred ninety-three thousand, one hundred twenty".