13784394240 has 320 divisors, whose sum is σ = 51847931520. Its totient is φ = 3459317760.

The previous prime is 13784394233. The next prime is 13784394263. The reversal of 13784394240 is 4249348731.

13784394240 is a `hidden beast` number, since 1 + 378 + 4 + 39 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169175 + ... + 1180905.

It is an arithmetic number, because the mean of its divisors is an integer number (162024786).

Almost surely, 2^13784394240 is an apocalyptic number.

13784394240 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 13784394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25923965760).

13784394240 is an abundant number, since it is smaller than the sum of its proper divisors (38063537280).

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

13784394240 is a wasteful number, since it uses less digits than its factorization.

13784394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11780 (or 11758 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13784394240 in words is "thirteen billion, seven hundred eighty-four million, three hundred ninety-four thousand, two hundred forty".