14466138240 has 256 divisors, whose sum is σ = 47587357440. Its totient is φ = 3735552000.

The previous prime is 14466138157. The next prime is 14466138241. The reversal of 14466138240 is 4283166441.

It is not an unprimeable number, because it can be changed into a prime (14466138241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11886112 + ... + 11887328.

It is an arithmetic number, because the mean of its divisors is an integer number (185888115).

Almost surely, 2^14466138240 is an apocalyptic number.

14466138240 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 14466138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793678720).

14466138240 is an abundant number, since it is smaller than the sum of its proper divisors (33121219200).

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

14466138240 is a wasteful number, since it uses less digits than its factorization.

14466138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 14466138240 in words is "fourteen billion, four hundred sixty-six million, one hundred thirty-eight thousand, two hundred forty".