16940632170240 has 1440 divisors, whose sum is σ = 66250205017920. Its totient is φ = 4132984061952.

The previous prime is 16940632170211. The next prime is 16940632170281. The reversal of 16940632170240 is 4207123604961.

16940632170240 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 0 + 632 + 1 + 7 + 0 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15847176426 + ... + 15847177494.

It is an arithmetic number, because the mean of its divisors is an integer number (46007086818).

Almost surely, 2^{16940632170240} is an apocalyptic number.

16940632170240 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 16940632170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33125102508960).

16940632170240 is an abundant number, since it is smaller than the sum of its proper divisors (49309572847680).

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

16940632170240 is an frugal number, since it uses more digits than its factorization.

16940632170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 16940632170240 in words is "sixteen trillion, nine hundred forty billion, six hundred thirty-two million, one hundred seventy thousand, two hundred forty".