4178959201872 has 800 divisors, whose sum is σ = 15459583856640. Its totient is φ = 1060442357760.

The previous prime is 4178959201861. The next prime is 4178959202023. The reversal of 4178959201872 is 2781029598714.

4178959201872 is a `hidden beast` number, since 417 + 8 + 9 + 5 + 9 + 201 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 352976529 + ... + 352988367.

Almost surely, 2^{4178959201872} is an apocalyptic number.

4178959201872 is a gapful number since it is divisible by the number (42) 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 4178959201872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7729791928320).

4178959201872 is an abundant number, since it is smaller than the sum of its proper divisors (11280624654768).

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

4178959201872 is a wasteful number, since it uses less digits than its factorization.

4178959201872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11993 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 4178959201872 in words is "four trillion, one hundred seventy-eight billion, nine hundred fifty-nine million, two hundred one thousand, eight hundred seventy-two".