414012420200 has 24 divisors (see below), whose sum is σ = 962578877430. Its totient is φ = 165604968000.

The previous prime is 414012420197. The next prime is 414012420223. The reversal of 414012420200 is 2024210414.

It can be written as a sum of positive squares in 3 ways, for example, as 323667690724 + 90344729476 = 568918^2 + 300574^2 .

It is a super-2 number, since 2×414012420200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035030851 + ... + 1035031250.

Almost surely, 2^414012420200 is an apocalyptic number.

414012420200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414012420200 is an abundant number, since it is smaller than the sum of its proper divisors (548566457230).

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

414012420200 is a wasteful number, since it uses less digits than its factorization.

414012420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070062117 (or 2070062108 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 414012420200 its reverse (2024210414), we get a palindrome (416036630614).

The spelling of 414012420200 in words is "four hundred fourteen billion, twelve million, four hundred twenty thousand, two hundred".