14613493440 has 672 divisors, whose sum is σ = 60710307840. Its totient is φ = 2946392064.

The previous prime is 14613493399. The next prime is 14613493441. The reversal of 14613493440 is 4439431641.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (14613493441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14064441 + ... + 14065479.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 2^14613493440 is an apocalyptic number.

14613493440 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 14613493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355153920).

14613493440 is an abundant number, since it is smaller than the sum of its proper divisors (46096814400).

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

14613493440 is a wasteful number, since it uses less digits than its factorization.

14613493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 14613493440 in words is "fourteen billion, six hundred thirteen million, four hundred ninety-three thousand, four hundred forty".