14909940807300 has 3024 divisors, whose sum is σ = 65411863372800. Its totient is φ = 2877602112000.

The previous prime is 14909940807299. The next prime is 14909940807341. The reversal of 14909940807300 is 370804990941.

14909940807300 is a `hidden beast` number, since 1 + 490 + 9 + 9 + 4 + 0 + 80 + 73 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 83295758611 + ... + 83295758789.

It is an arithmetic number, because the mean of its divisors is an integer number (21630907200).

Almost surely, 2^{14909940807300} is an apocalyptic number.

14909940807300 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 14909940807300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32705931686400).

14909940807300 is an abundant number, since it is smaller than the sum of its proper divisors (50501922565500).

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

14909940807300 is a wasteful number, since it uses less digits than its factorization.

14909940807300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 14909940807300 in words is "fourteen trillion, nine hundred nine billion, nine hundred forty million, eight hundred seven thousand, three hundred".