414030141200 has 120 divisors (see below), whose sum is σ = 1072002611400. Its totient is φ = 152761466880.

The previous prime is 414030141163. The next prime is 414030141211. The reversal of 414030141200 is 2141030414.

It can be written as a sum of positive squares in 12 ways, for example, as 307576723216 + 106453417984 = 554596^2 + 326272^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7298546 + ... + 7355054.

It is an arithmetic number, because the mean of its divisors is an integer number (8933355095).

Almost surely, 2^414030141200 is an apocalyptic number.

414030141200 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 414030141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536001305700).

414030141200 is an abundant number, since it is smaller than the sum of its proper divisors (657972470200).

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

414030141200 is a wasteful number, since it uses less digits than its factorization.

414030141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57949 (or 57938 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414030141200 its reverse (2141030414), we get a palindrome (416171171614).

The spelling of 414030141200 in words is "four hundred fourteen billion, thirty million, one hundred forty-one thousand, two hundred".