13419934080 has 256 divisors, whose sum is σ = 51460876800. Its totient is φ = 2905915392.

The previous prime is 13419934067. The next prime is 13419934093. The reversal of 13419934080 is 8043991431.

It is an interprime number because it is at equal distance from previous prime (13419934067) and next prime (13419934093).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

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, 229084 + ... + 281636.

It is an arithmetic number, because the mean of its divisors is an integer number (201019050).

Almost surely, 2^13419934080 is an apocalyptic number.

13419934080 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 13419934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25730438400).

13419934080 is an abundant number, since it is smaller than the sum of its proper divisors (38040942720).

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

13419934080 is a wasteful number, since it uses less digits than its factorization.

13419934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52601 (or 52589 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 13419934080 in words is "thirteen billion, four hundred nineteen million, nine hundred thirty-four thousand, eighty".