13419440 has 80 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 5069568.

The previous prime is 13419433. The next prime is 13419449. The reversal of 13419440 is 4491431.

13419440 = 135² + 136² + ... + 349².

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13419449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161639 + ... + 161721.

Almost surely, 2^13419440 is an apocalyptic number.

13419440 is a gapful number since it is divisible by the number (10) 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 13419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

13419440 is an abundant number, since it is smaller than the sum of its proper divisors (19578448).

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

13419440 is a wasteful number, since it uses less digits than its factorization.

13419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13419440 is about 3663.2553828528. The cubic root of 13419440 is about 237.6355790984.

The spelling of 13419440 in words is "thirteen million, four hundred nineteen thousand, four hundred forty".