4196128519800 has 1344 divisors, whose sum is σ = 17948155798080. Its totient is φ = 890062110720.

The previous prime is 4196128519753. The next prime is 4196128519813. The reversal of 4196128519800 is 89158216914.

4196128519800 is a `hidden beast` number, since 4 + 1 + 9 + 612 + 8 + 5 + 19 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1266562944 + ... + 1266566256.

Almost surely, 2^{4196128519800} is an apocalyptic number.

4196128519800 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 4196128519800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974077899040).

4196128519800 is an abundant number, since it is smaller than the sum of its proper divisors (13752027278280).

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

4196128519800 is a wasteful number, since it uses less digits than its factorization.

4196128519800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 4196128519800 in words is "four trillion, one hundred ninety-six billion, one hundred twenty-eight million, five hundred nineteen thousand, eight hundred".