14140379136 has 416 divisors, whose sum is σ = 44387094528. Its totient is φ = 3963617280.

The previous prime is 14140379081. The next prime is 14140379147. The reversal of 14140379136 is 63197304141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 14140379094 and 14140379103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111341505 + ... + 111341631.

Almost surely, 2^14140379136 is an apocalyptic number.

14140379136 is a gapful number since it is divisible by the number (16) 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 14140379136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193547264).

14140379136 is an abundant number, since it is smaller than the sum of its proper divisors (30246715392).

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

14140379136 is a wasteful number, since it uses less digits than its factorization.

14140379136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 14140379136 in words is "fourteen billion, one hundred forty million, three hundred seventy-nine thousand, one hundred thirty-six".