14645294040 has 192 divisors, whose sum is σ = 48896114400. Its totient is φ = 3488348160.

The previous prime is 14645294039. The next prime is 14645294077. The reversal of 14645294040 is 4049254641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 14645294040.

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, 1494276 + ... + 1504044.

Almost surely, 2^14645294040 is an apocalyptic number.

14645294040 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 14645294040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24448057200).

14645294040 is an abundant number, since it is smaller than the sum of its proper divisors (34250820360).

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

14645294040 is a wasteful number, since it uses less digits than its factorization.

14645294040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9823 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 14645294040 in words is "fourteen billion, six hundred forty-five million, two hundred ninety-four thousand, forty".