13419743040 has 672 divisors, whose sum is σ = 54120044160. Its totient is φ = 3135283200.

The previous prime is 13419743023. The next prime is 13419743063. The reversal of 13419743040 is 4034791431.

13419743040 is a `hidden beast` number, since 1 + 34 + 197 + 430 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13419742986 and 13419743004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24805170 + ... + 24805710.

It is an arithmetic number, because the mean of its divisors is an integer number (80535780).

Almost surely, 2^13419743040 is an apocalyptic number.

13419743040 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 13419743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27060022080).

13419743040 is an abundant number, since it is smaller than the sum of its proper divisors (40700301120).

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

13419743040 is a wasteful number, since it uses less digits than its factorization.

13419743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13419743040 in words is "thirteen billion, four hundred nineteen million, seven hundred forty-three thousand, forty".