14193779040 has 960 divisors, whose sum is σ = 60886425600. Its totient is φ = 3109155840.

The previous prime is 14193779027. The next prime is 14193779059. The reversal of 14193779040 is 4097739141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137803629 + ... + 137803731.

It is an arithmetic number, because the mean of its divisors is an integer number (63423360).

Almost surely, 2^14193779040 is an apocalyptic number.

14193779040 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 14193779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30443212800).

14193779040 is an abundant number, since it is smaller than the sum of its proper divisors (46692646560).

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

14193779040 is a wasteful number, since it uses less digits than its factorization.

14193779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 14193779040 in words is "fourteen billion, one hundred ninety-three million, seven hundred seventy-nine thousand, forty".