14778240640 has 128 divisors (see below), whose sum is σ = 37069770240. Its totient is φ = 5626368000.

The previous prime is 14778240619. The next prime is 14778240643. The reversal of 14778240640 is 4604287741.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×14778240640³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14778240643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204135 + ... + 1216345.

It is an arithmetic number, because the mean of its divisors is an integer number (289607580).

Almost surely, 2^14778240640 is an apocalyptic number.

14778240640 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 14778240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18534885120).

14778240640 is an abundant number, since it is smaller than the sum of its proper divisors (22291529600).

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

14778240640 is a wasteful number, since it uses less digits than its factorization.

14778240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12322 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 14778240640 in words is "fourteen billion, seven hundred seventy-eight million, two hundred forty thousand, six hundred forty".