13419411264 has 280 divisors, whose sum is σ = 46396046400. Its totient is φ = 3833609472.

The previous prime is 13419411263. The next prime is 13419411301. The reversal of 13419411264 is 46211491431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419411263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1774339 + ... + 1781885.

Almost surely, 2^13419411264 is an apocalyptic number.

13419411264 is a gapful number since it is divisible by the number (14) 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 13419411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198023200).

13419411264 is an abundant number, since it is smaller than the sum of its proper divisors (32976635136).

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

13419411264 is an frugal number, since it uses more digits than its factorization.

13419411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7592 (or 7559 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13419411264 in words is "thirteen billion, four hundred nineteen million, four hundred eleven thousand, two hundred sixty-four".