414102314000 has 40 divisors (see below), whose sum is σ = 1001299400088. Its totient is φ = 165640924800.

The previous prime is 414102313981. The next prime is 414102314023. The reversal of 414102314000 is 413201414.

It can be written as a sum of positive squares in 4 ways, for example, as 9367142656 + 404735171344 = 96784^2 + 636188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103523579 + ... + 103527578.

Almost surely, 2^414102314000 is an apocalyptic number.

414102314000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414102314000 is an abundant number, since it is smaller than the sum of its proper divisors (587197086088).

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

414102314000 is a wasteful number, since it uses less digits than its factorization.

414102314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207051180 (or 207051164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414102314000 its reverse (413201414), we get a palindrome (414515515414).

The spelling of 414102314000 in words is "four hundred fourteen billion, one hundred two million, three hundred fourteen thousand".