4196838528000 has 1408 divisors, whose sum is σ = 16402117754880. Its totient is φ = 1056706560000.

The previous prime is 4196838527993. The next prime is 4196838528007. The reversal of 4196838528000 is 8258386914.

It is an interprime number because it is at equal distance from previous prime (4196838527993) and next prime (4196838528007).

It is a super-2 number, since 2×4196838528000² (a number of 26 digits) contains 22 as substring.

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 (4196838528007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4606847545 + ... + 4606848455.

It is an arithmetic number, because the mean of its divisors is an integer number (11649231360).

Almost surely, 2^{4196838528000} is an apocalyptic number.

4196838528000 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 4196838528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201058877440).

4196838528000 is an abundant number, since it is smaller than the sum of its proper divisors (12205279226880).

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

4196838528000 is a wasteful number, since it uses less digits than its factorization.

4196838528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4196838528000 in words is "four trillion, one hundred ninety-six billion, eight hundred thirty-eight million, five hundred twenty-eight thousand".