13982406276330 has 96 divisors (see below), whose sum is σ = 36916607340288. Its totient is φ = 3671024227200.

The previous prime is 13982406276329. The next prime is 13982406276337. The reversal of 13982406276330 is 3367260428931.

13982406276330 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 2 + 4 + 0 + 627 + 6 + 3 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13982406276337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10662460 + ... + 11901800.

It is an arithmetic number, because the mean of its divisors is an integer number (384547993128).

Almost surely, 2^{13982406276330} is an apocalyptic number.

13982406276330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982406276330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458303670144).

13982406276330 is an abundant number, since it is smaller than the sum of its proper divisors (22934201063958).

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

13982406276330 is a wasteful number, since it uses less digits than its factorization.

13982406276330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241292 (or 1241289 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 13982406276330 in words is "thirteen trillion, nine hundred eighty-two billion, four hundred six million, two hundred seventy-six thousand, three hundred thirty".