414102010413 has 64 divisors (see below), whose sum is σ = 734210265600. Its totient is φ = 205578648576.

The previous prime is 414102010409. The next prime is 414102010457. The reversal of 414102010413 is 314010201414.

It is not a de Polignac number, because 414102010413 - 2² = 414102010409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 414102010413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414102010463) 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 63 ways as a sum of consecutive naturals, for example, 683070 + ... + 1137887.

It is an arithmetic number, because the mean of its divisors is an integer number (11472035400).

Almost surely, 2^414102010413 is an apocalyptic number.

It is an amenable number.

414102010413 is a deficient number, since it is larger than the sum of its proper divisors (320108255187).

414102010413 is a wasteful number, since it uses less digits than its factorization.

414102010413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821011 (or 1820997 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 414102010413 its reverse (314010201414), we get a palindrome (728112211827).

The spelling of 414102010413 in words is "four hundred fourteen billion, one hundred two million, ten thousand, four hundred thirteen".