414020200044 has 96 divisors (see below), whose sum is σ = 1088553940992. Its totient is φ = 121336704000.

The previous prime is 414020200039. The next prime is 414020200091. The reversal of 414020200044 is 440002020414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6601924 + ... + 6664340.

It is an arithmetic number, because the mean of its divisors is an integer number (11339103552).

Almost surely, 2^414020200044 is an apocalyptic number.

414020200044 is a gapful number since it is divisible by the number (44) 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 414020200044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544276970496).

414020200044 is an abundant number, since it is smaller than the sum of its proper divisors (674533740948).

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

414020200044 is a wasteful number, since it uses less digits than its factorization.

414020200044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64087 (or 64085 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 414020200044 its reverse (440002020414), we get a palindrome (854022220458).

The spelling of 414020200044 in words is "four hundred fourteen billion, twenty million, two hundred thousand, forty-four".