4196255601600 has 504 divisors, whose sum is σ = 16177010417568. Its totient is φ = 1027488153600.

The previous prime is 4196255601581. The next prime is 4196255601647. The reversal of 4196255601600 is 61065526914.

4196255601600 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 25 + 560 + 1 + 60 + 0 = 666.

It is a super-2 number, since 2×4196255601600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9827757 + ... + 10245843.

It is an arithmetic number, because the mean of its divisors is an integer number (32097242892).

Almost surely, 2^{4196255601600} is an apocalyptic number.

4196255601600 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 4196255601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088505208784).

4196255601600 is an abundant number, since it is smaller than the sum of its proper divisors (11980754815968).

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

4196255601600 is a wasteful number, since it uses less digits than its factorization.

4196255601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418173 (or 418155 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 4196255601600 in words is "four trillion, one hundred ninety-six billion, two hundred fifty-five million, six hundred one thousand, six hundred".