414144040204120 has 64 divisors (see below), whose sum is σ = 960267385224000. Its totient is φ = 160649418731520.

The previous prime is 414144040204099. The next prime is 414144040204121. The reversal of 414144040204120 is 21402040441414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414144040204121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755794545 + ... + 756342304.

It is an arithmetic number, because the mean of its divisors is an integer number (15004177894125).

Almost surely, 2^{414144040204120} is an apocalyptic number.

414144040204120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414144040204120 is an abundant number, since it is smaller than the sum of its proper divisors (546123345019880).

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

414144040204120 is a wasteful number, since it uses less digits than its factorization.

414144040204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512137068 (or 1512137064 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 414144040204120 its reverse (21402040441414), we get a palindrome (435546080645534).

The spelling of 414144040204120 in words is "four hundred fourteen trillion, one hundred forty-four billion, forty million, two hundred four thousand, one hundred twenty".