414325043352 has 480 divisors, whose sum is σ = 1302420651840. Its totient is φ = 122943744000.

The previous prime is 414325043323. The next prime is 414325043381. The reversal of 414325043352 is 253340523414.

414325043352 is a `hidden beast` number, since 4 + 14 + 3 + 250 + 43 + 352 = 666.

It is an interprime number because it is at equal distance from previous prime (414325043323) and next prime (414325043381).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 894870273 + ... + 894870735.

It is an arithmetic number, because the mean of its divisors is an integer number (2713376358).

Almost surely, 2^414325043352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414325043352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651210325920).

414325043352 is an abundant number, since it is smaller than the sum of its proper divisors (888095608488).

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

414325043352 is a wasteful number, since it uses less digits than its factorization.

414325043352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 414325043352 its reverse (253340523414), we get a palindrome (667665566766).

The spelling of 414325043352 in words is "four hundred fourteen billion, three hundred twenty-five million, forty-three thousand, three hundred fifty-two".