414032030202 has 128 divisors (see below), whose sum is σ = 1042502123520. Its totient is φ = 106895738880.

The previous prime is 414032030147. The next prime is 414032030213. The reversal of 414032030202 is 202030230414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2737374 + ... + 2884662.

It is an arithmetic number, because the mean of its divisors is an integer number (8144547840).

Almost surely, 2^414032030202 is an apocalyptic number.

414032030202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 414032030202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521251061760).

414032030202 is an abundant number, since it is smaller than the sum of its proper divisors (628470093318).

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

414032030202 is a wasteful number, since it uses less digits than its factorization.

414032030202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147476.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 414032030202 its reverse (202030230414), we get a palindrome (616062260616).

The spelling of 414032030202 in words is "four hundred fourteen billion, thirty-two million, thirty thousand, two hundred two".