4284636102405 has 96 divisors (see below), whose sum is σ = 7843779216000. Its totient is φ = 2243154228480.

The previous prime is 4284636102401. The next prime is 4284636102421. The reversal of 4284636102405 is 5042016364824.

4284636102405 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 6 + 3 + 610 + 24 + 0 + 5 = 666.

It is not a de Polignac number, because 4284636102405 - 2² = 4284636102401 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284636102401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 36925459 + ... + 37041311.

It is an arithmetic number, because the mean of its divisors is an integer number (81706033500).

Almost surely, 2^{4284636102405} is an apocalyptic number.

4284636102405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4284636102405 is a deficient number, since it is larger than the sum of its proper divisors (3559143113595).

4284636102405 is a wasteful number, since it uses less digits than its factorization.

4284636102405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116433 (or 116421 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4284636102405 in words is "four trillion, two hundred eighty-four billion, six hundred thirty-six million, one hundred two thousand, four hundred five".