14480778240 has 528 divisors, whose sum is σ = 53004002688. Its totient is φ = 3790209024.

The previous prime is 14480778229. The next prime is 14480778253. The reversal of 14480778240 is 4287708441.

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 47 ways as a sum of consecutive naturals, for example, 128148424 + ... + 128148536.

Almost surely, 2^14480778240 is an apocalyptic number.

14480778240 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 14480778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26502001344).

14480778240 is an abundant number, since it is smaller than the sum of its proper divisors (38523224448).

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

14480778240 is a wasteful number, since it uses less digits than its factorization.

14480778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 14480778240 in words is "fourteen billion, four hundred eighty million, seven hundred seventy-eight thousand, two hundred forty".