414312302404 has 192 divisors, whose sum is σ = 987571533312. Its totient is φ = 146861568000.

The previous prime is 414312302381. The next prime is 414312302423. The reversal of 414312302404 is 404203213414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94223934 + ... + 94228330.

It is an arithmetic number, because the mean of its divisors is an integer number (5143601736).

Almost surely, 2^414312302404 is an apocalyptic number.

414312302404 is a gapful number since it is divisible by the number (44) 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 414312302404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493785766656).

414312302404 is an abundant number, since it is smaller than the sum of its proper divisors (573259230908).

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

414312302404 is a wasteful number, since it uses less digits than its factorization.

414312302404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 414312302404 its reverse (404203213414), we get a palindrome (818515515818).

The spelling of 414312302404 in words is "four hundred fourteen billion, three hundred twelve million, three hundred two thousand, four hundred four".