414014025220 has 24 divisors (see below), whose sum is σ = 879198327000. Its totient is φ = 163744872192.

The previous prime is 414014025211. The next prime is 414014025221. The reversal of 414014025220 is 22520410414.

It can be written as a sum of positive squares in 4 ways, for example, as 23569004484 + 390445020736 = 153522^2 + 624856^2 .

It is a super-2 number, since 2×414014025220² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414014025221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116294295 + ... + 116297854.

It is an arithmetic number, because the mean of its divisors is an integer number (36633263625).

Almost surely, 2^414014025220 is an apocalyptic number.

It is an amenable number.

414014025220 is an abundant number, since it is smaller than the sum of its proper divisors (465184301780).

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

414014025220 is a wasteful number, since it uses less digits than its factorization.

414014025220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232592247 (or 232592245 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 414014025220 its reverse (22520410414), we get a palindrome (436534435634).

The spelling of 414014025220 in words is "four hundred fourteen billion, fourteen million, twenty-five thousand, two hundred twenty".