16912660343040 has 1728 divisors, whose sum is σ = 80109452666880. Its totient is φ = 3307514757120.

The previous prime is 16912660343027. The next prime is 16912660343053. The reversal of 16912660343040 is 4034306621961.

16912660343040 is a `hidden beast` number, since 1 + 6 + 9 + 1 + 2 + 6 + 603 + 4 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16912660343027) and next prime (16912660343053).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407130591 + ... + 407172129.

It is an arithmetic number, because the mean of its divisors is an integer number (46359636960).

Almost surely, 2^{16912660343040} is an apocalyptic number.

16912660343040 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 16912660343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40054726333440).

16912660343040 is an abundant number, since it is smaller than the sum of its proper divisors (63196792323840).

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

16912660343040 is a wasteful number, since it uses less digits than its factorization.

16912660343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41610 (or 41584 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 16912660343040 in words is "sixteen trillion, nine hundred twelve billion, six hundred sixty million, three hundred forty-three thousand, forty".