16169480490240 has 5184 divisors, whose sum is σ = 80087412787200. Its totient is φ = 2963423232000.

The previous prime is 16169480490197. The next prime is 16169480490269. The reversal of 16169480490240 is 4209408496161.

16169480490240 is a `hidden beast` number, since 1 + 61 + 6 + 94 + 8 + 0 + 490 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×16169480490240² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 160093866190 + ... + 160093866290.

It is an arithmetic number, because the mean of its divisors is an integer number (15448960800).

Almost surely, 2^{16169480490240} is an apocalyptic number.

16169480490240 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 16169480490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40043706393600).

16169480490240 is an abundant number, since it is smaller than the sum of its proper divisors (63917932296960).

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

16169480490240 is a wasteful number, since it uses less digits than its factorization.

16169480490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 230 counting only the distinct ones).

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

The spelling of 16169480490240 in words is "sixteen trillion, one hundred sixty-nine billion, four hundred eighty million, four hundred ninety thousand, two hundred forty".