16196831461440 has 1680 divisors, whose sum is σ = 71633872886400. Its totient is φ = 3393451376640.

The previous prime is 16196831461439. The next prime is 16196831461441. The reversal of 16196831461440 is 4416413869161.

16196831461440 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 6 + 8 + 3 + 14 + 614 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16196831461439) and next prime (16196831461441).

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (16196831461441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3312910516 + ... + 3312915404.

Almost surely, 2^{16196831461440} is an apocalyptic number.

16196831461440 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 16196831461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35816936443200).

16196831461440 is an abundant number, since it is smaller than the sum of its proper divisors (55437041424960).

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

16196831461440 is a wasteful number, since it uses less digits than its factorization.

16196831461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16196831461440 in words is "sixteen trillion, one hundred ninety-six billion, eight hundred thirty-one million, four hundred sixty-one thousand, four hundred forty".