414332200120 has 64 divisors (see below), whose sum is σ = 988584458400. Its totient is φ = 155747020800.

The previous prime is 414332200021. The next prime is 414332200187. The reversal of 414332200120 is 21002233414.

It is a junction number, because it is equal to n+sod(n) for n = 414332200091 and 414332200100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14181 + ... + 910420.

Almost surely, 2^414332200120 is an apocalyptic number.

414332200120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414332200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494292229200).

414332200120 is an abundant number, since it is smaller than the sum of its proper divisors (574252258280).

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

414332200120 is a wasteful number, since it uses less digits than its factorization.

414332200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925288 (or 925284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 414332200120 its reverse (21002233414), we get a palindrome (435334433534).

The spelling of 414332200120 in words is "four hundred fourteen billion, three hundred thirty-two million, two hundred thousand, one hundred twenty".