3413269801044 has 144 divisors (see below), whose sum is σ = 9544107605760. Its totient is φ = 1023047562240.

The previous prime is 3413269801009. The next prime is 3413269801049. The reversal of 3413269801044 is 4401089623143.

3413269801044 is a `hidden beast` number, since 341 + 3 + 269 + 8 + 0 + 1 + 0 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413269801049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11665254 + ... + 11954274.

It is an arithmetic number, because the mean of its divisors is an integer number (66278525040).

Almost surely, 2^{3413269801044} is an apocalyptic number.

3413269801044 is a gapful number since it is divisible by the number (34) 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 3413269801044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772053802880).

3413269801044 is an abundant number, since it is smaller than the sum of its proper divisors (6130837804716).

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

3413269801044 is a wasteful number, since it uses less digits than its factorization.

3413269801044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289910 (or 289905 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3413269801044 in words is "three trillion, four hundred thirteen billion, two hundred sixty-nine million, eight hundred one thousand, forty-four".