4193959161600 has 1620 divisors, whose sum is σ = 16946268010056. Its totient is φ = 1027118776320.

The previous prime is 4193959161593. The next prime is 4193959161611. The reversal of 4193959161600 is 61619593914.

It is a happy number.

4193959161600 is a `hidden beast` number, since 4 + 1 + 9 + 39 + 591 + 6 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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 179 ways as a sum of consecutive naturals, for example, 21289132702 + ... + 21289132898.

Almost surely, 2^{4193959161600} is an apocalyptic number.

4193959161600 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 4193959161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473134005028).

4193959161600 is an abundant number, since it is smaller than the sum of its proper divisors (12752308848456).

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

4193959161600 is an frugal number, since it uses more digits than its factorization.

4193959161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 4193959161600 in words is "four trillion, one hundred ninety-three billion, nine hundred fifty-nine million, one hundred sixty-one thousand, six hundred".