16382701440000 has 3520 divisors, whose sum is σ = 76025807953920. Its totient is φ = 3397386240000.

The previous prime is 16382701439963. The next prime is 16382701440097. The reversal of 16382701440000 is 4410728361.

16382701440000 is a `hidden beast` number, since 1 + 638 + 2 + 7 + 0 + 14 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 63745919872 + ... + 63745920128.

It is an arithmetic number, because the mean of its divisors is an integer number (21598240896).

Almost surely, 2^{16382701440000} is an apocalyptic number.

16382701440000 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 16382701440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38012903976960).

16382701440000 is an abundant number, since it is smaller than the sum of its proper divisors (59643106513920).

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

16382701440000 is a wasteful number, since it uses less digits than its factorization.

16382701440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16382701440000 in words is "sixteen trillion, three hundred eighty-two billion, seven hundred one million, four hundred forty thousand".