14930385783040 has 1152 divisors, whose sum is σ = 46299570831360. Its totient is φ = 4486938624000.

The previous prime is 14930385783023. The next prime is 14930385783043. The reversal of 14930385783040 is 4038758303941.

It is not an unprimeable number, because it can be changed into a prime (14930385783043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75788760222 + ... + 75788760418.

It is an arithmetic number, because the mean of its divisors is an integer number (40190599680).

Almost surely, 2^{14930385783040} is an apocalyptic number.

14930385783040 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 14930385783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23149785415680).

14930385783040 is an abundant number, since it is smaller than the sum of its proper divisors (31369185048320).

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

14930385783040 is a wasteful number, since it uses less digits than its factorization.

14930385783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 14930385783040 in words is "fourteen trillion, nine hundred thirty billion, three hundred eighty-five million, seven hundred eighty-three thousand, forty".