414104545000 has 320 divisors, whose sum is σ = 1018653926400. Its totient is φ = 157651200000.

The previous prime is 414104544989. The next prime is 414104545027. The reversal of 414104545000 is 545401414.

It is a self number, because there is not a number n which added to its sum of digits gives 414104545000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1732654881 + ... + 1732655119.

It is an arithmetic number, because the mean of its divisors is an integer number (3183293520).

Almost surely, 2^414104545000 is an apocalyptic number.

414104545000 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 414104545000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509326963200).

414104545000 is an abundant number, since it is smaller than the sum of its proper divisors (604549381400).

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

414104545000 is a wasteful number, since it uses less digits than its factorization.

414104545000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 414104545000 its reverse (545401414), we get a palindrome (414649946414).

The spelling of 414104545000 in words is "four hundred fourteen billion, one hundred four million, five hundred forty-five thousand".