4204206452160 has 1568 divisors, whose sum is σ = 17752678711488. Its totient is φ = 934493552640.

The previous prime is 4204206452119. The next prime is 4204206452227. The reversal of 4204206452160 is 612546024024.

4204206452160 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 2 + 0 + 645 + 2 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6438294394 + ... + 6438295046.

Almost surely, 2^{4204206452160} is an apocalyptic number.

4204206452160 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 4204206452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876339355744).

4204206452160 is an abundant number, since it is smaller than the sum of its proper divisors (13548472259328).

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

4204206452160 is a wasteful number, since it uses less digits than its factorization.

4204206452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4204206452160 in words is "four trillion, two hundred four billion, two hundred six million, four hundred fifty-two thousand, one hundred sixty".