4194958594914 has 96 divisors (see below), whose sum is σ = 9499133666880. Its totient is φ = 1336770864000.

The previous prime is 4194958594903. The next prime is 4194958594919.

4194958594914 is a `hidden beast` number, since 4 + 1 + 9 + 495 + 85 + 9 + 49 + 14 = 666.

4194958594914 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4194958594914² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4194958594919) 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 47 ways as a sum of consecutive naturals, for example, 8573817 + ... + 9049875.

It is an arithmetic number, because the mean of its divisors is an integer number (98949309030).

Almost surely, 2^{4194958594914} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4194958594914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749566833440).

4194958594914 is an abundant number, since it is smaller than the sum of its proper divisors (5304175071966).

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

4194958594914 is a wasteful number, since it uses less digits than its factorization.

4194958594914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476336 (or 476333 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 4194958594914 in words is "four trillion, one hundred ninety-four billion, nine hundred fifty-eight million, five hundred ninety-four thousand, nine hundred fourteen".