4206386283120 has 640 divisors, whose sum is σ = 17060365209600. Its totient is φ = 932483985408.

The previous prime is 4206386283109. The next prime is 4206386283161. The reversal of 4206386283120 is 213826836024.

4206386283120 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 3 + 8 + 628 + 3 + 12 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 177330621 + ... + 177354339.

It is an arithmetic number, because the mean of its divisors is an integer number (26656820640).

Almost surely, 2^{4206386283120} is an apocalyptic number.

4206386283120 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 4206386283120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530182604800).

4206386283120 is an abundant number, since it is smaller than the sum of its proper divisors (12853978926480).

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

4206386283120 is a wasteful number, since it uses less digits than its factorization.

4206386283120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24102 (or 24090 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

It can be divided in two parts, 4206386 and 283120, that added together give a triangular number (4489506 = T₂₉₉₆).

The spelling of 4206386283120 in words is "four trillion, two hundred six billion, three hundred eighty-six million, two hundred eighty-three thousand, one hundred twenty".