14146280640 has 560 divisors, whose sum is σ = 53506664640. Its totient is φ = 3540049920.

The previous prime is 14146280611. The next prime is 14146280677. The reversal of 14146280640 is 4608264141.

It is a happy number.

14146280640 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 6 + 2 + 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 = 14146280595 and 14146280604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36365566 + ... + 36365954.

Almost surely, 2^14146280640 is an apocalyptic number.

14146280640 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 14146280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26753332320).

14146280640 is an abundant number, since it is smaller than the sum of its proper divisors (39360384000).

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

14146280640 is a wasteful number, since it uses less digits than its factorization.

14146280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 14146280640 in words is "fourteen billion, one hundred forty-six million, two hundred eighty thousand, six hundred forty".