4194858796128 has 576 divisors, whose sum is σ = 16219565107200. Its totient is φ = 993023815680.

The previous prime is 4194858796087. The next prime is 4194858796147. The reversal of 4194858796128 is 8216978584914.

4194858796128 is a `hidden beast` number, since 4 + 1 + 9 + 485 + 87 + 9 + 61 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22682658 + ... + 22866846.

It is an arithmetic number, because the mean of its divisors is an integer number (28158967200).

Almost surely, 2^{4194858796128} is an apocalyptic number.

4194858796128 is a gapful number since it is divisible by the number (48) 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 4194858796128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109782553600).

4194858796128 is an abundant number, since it is smaller than the sum of its proper divisors (12024706311072).

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

4194858796128 is a wasteful number, since it uses less digits than its factorization.

4194858796128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184315 (or 184304 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 4194858796128 in words is "four trillion, one hundred ninety-four billion, eight hundred fifty-eight million, seven hundred ninety-six thousand, one hundred twenty-eight".