13650493440 has 288 divisors, whose sum is σ = 44845327296. Its totient is φ = 3544186880.

The previous prime is 13650493433. The next prime is 13650493481. The reversal of 13650493440 is 4439405631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104202175 + ... + 104202305.

It is an arithmetic number, because the mean of its divisors is an integer number (155712942).

Almost surely, 2^13650493440 is an apocalyptic number.

13650493440 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 13650493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22422663648).

13650493440 is an abundant number, since it is smaller than the sum of its proper divisors (31194833856).

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

13650493440 is an frugal number, since it uses more digits than its factorization.

13650493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 13650493440 in words is "thirteen billion, six hundred fifty million, four hundred ninety-three thousand, four hundred forty".