414452000000 has 126 divisors (see below), whose sum is σ = 1034103052374. Its totient is φ = 165779200000.

The previous prime is 414451999993. The next prime is 414452000029. The reversal of 414452000000 is 254414.

It can be written as a sum of positive squares in 7 ways, for example, as 387023340544 + 27428659456 = 622112^2 + 165616^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3948194 + ... + 4051806.

Almost surely, 2^414452000000 is an apocalyptic number.

414452000000 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 414452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517051526187).

414452000000 is an abundant number, since it is smaller than the sum of its proper divisors (619651052374).

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

414452000000 is an frugal number, since it uses more digits than its factorization.

414452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103659 (or 103620 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 414452000000 its reverse (254414), we get a palindrome (414452254414).

The spelling of 414452000000 in words is "four hundred fourteen billion, four hundred fifty-two million", and thus it is an aban number.