4212405305415 has 24 divisors (see below), whose sum is σ = 7479587960208. Its totient is φ = 2191820645760.

The previous prime is 4212405305399. The next prime is 4212405305417. The reversal of 4212405305415 is 5145035042124.

4212405305415 is a `hidden beast` number, since 4 + 21 + 2 + 40 + 53 + 0 + 541 + 5 = 666.

It is not a de Polignac number, because 4212405305415 - 2⁴ = 4212405305399 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4212405305415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212405305417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141571409 + ... + 1141575098.

It is an arithmetic number, because the mean of its divisors is an integer number (311649498342).

Almost surely, 2^{4212405305415} is an apocalyptic number.

4212405305415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4212405305415 is a deficient number, since it is larger than the sum of its proper divisors (3267182654793).

4212405305415 is a wasteful number, since it uses less digits than its factorization.

4212405305415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283146559 (or 2283146556 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 4212405305415 in words is "four trillion, two hundred twelve billion, four hundred five million, three hundred five thousand, four hundred fifteen".