13919290420 has 192 divisors, whose sum is σ = 35521597440. Its totient is φ = 4479095808.

The previous prime is 13919290409. The next prime is 13919290423. The reversal of 13919290420 is 2409291931.

13919290420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13919290423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61318347 + ... + 61318573.

It is an arithmetic number, because the mean of its divisors is an integer number (185008320).

Almost surely, 2^13919290420 is an apocalyptic number.

13919290420 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 13919290420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17760798720).

13919290420 is an abundant number, since it is smaller than the sum of its proper divisors (21602307020).

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

13919290420 is a wasteful number, since it uses less digits than its factorization.

13919290420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 13919290420 in words is "thirteen billion, nine hundred nineteen million, two hundred ninety thousand, four hundred twenty".