14796397440 has 1024 divisors, whose sum is σ = 63980928000. Its totient is φ = 3185049600.

The previous prime is 14796397403. The next prime is 14796397453. The reversal of 14796397440 is 4479369741.

14796397440 is a `hidden beast` number, since 1 + 479 + 63 + 9 + 74 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61395720 + ... + 61395960.

It is an arithmetic number, because the mean of its divisors is an integer number (62481375).

Almost surely, 2^14796397440 is an apocalyptic number.

14796397440 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 14796397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31990464000).

14796397440 is an abundant number, since it is smaller than the sum of its proper divisors (49184530560).

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

14796397440 is a wasteful number, since it uses less digits than its factorization.

14796397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 14796397440 in words is "fourteen billion, seven hundred ninety-six million, three hundred ninety-seven thousand, four hundred forty".