14810480640 has 504 divisors, whose sum is σ = 55012281408. Its totient is φ = 3822059520.

The previous prime is 14810480591. The next prime is 14810480653. The reversal of 14810480640 is 4608401841.

14810480640 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 0 + 4 + 8 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14810480595 and 14810480604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 477757425 + ... + 477757455.

It is an arithmetic number, because the mean of its divisors is an integer number (109151352).

Almost surely, 2^14810480640 is an apocalyptic number.

14810480640 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 14810480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27506140704).

14810480640 is an abundant number, since it is smaller than the sum of its proper divisors (40201800768).

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

14810480640 is an frugal number, since it uses more digits than its factorization.

14810480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 14810480640 in words is "fourteen billion, eight hundred ten million, four hundred eighty thousand, six hundred forty".