414040232020 has 24 divisors (see below), whose sum is σ = 899466712200. Its totient is φ = 159905192832.

The previous prime is 414040232003. The next prime is 414040232029. The reversal of 414040232020 is 20232040414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 195049156 + 413845182864 = 13966^2 + 643308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 414040231982 and 414040232000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414040232029) 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, 356930655 + ... + 356931814.

It is an arithmetic number, because the mean of its divisors is an integer number (37477779675).

Almost surely, 2^414040232020 is an apocalyptic number.

It is an amenable number.

414040232020 is an abundant number, since it is smaller than the sum of its proper divisors (485426480180).

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

414040232020 is a wasteful number, since it uses less digits than its factorization.

414040232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713862507 (or 713862505 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 414040232020 its reverse (20232040414), we get a palindrome (434272272434).

The spelling of 414040232020 in words is "four hundred fourteen billion, forty million, two hundred thirty-two thousand, twenty".