414120210144 has 288 divisors, whose sum is σ = 1186558367904. Its totient is φ = 126328688640.

The previous prime is 414120210131. The next prime is 414120210157. The reversal of 414120210144 is 441012021414.

It is an interprime number because it is at equal distance from previous prime (414120210131) and next prime (414120210157).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114617682 + ... + 114621294.

It is an arithmetic number, because the mean of its divisors is an integer number (4119994333).

Almost surely, 2^414120210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414120210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593279183952).

414120210144 is an abundant number, since it is smaller than the sum of its proper divisors (772438157760).

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

414120210144 is a wasteful number, since it uses less digits than its factorization.

414120210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 414120210144 its reverse (441012021414), we get a palindrome (855132231558).

The spelling of 414120210144 in words is "four hundred fourteen billion, one hundred twenty million, two hundred ten thousand, one hundred forty-four".