10405168380 has 72 divisors (see below), whose sum is σ = 32296376112.
Its totient is φ = 2710181376.
The previous prime is 10405168339. The next prime is 10405168381. The reversal of 10405168380 is 8386150401.
10405168380 is a `hidden beast` number, since 10 + 405 + 168 + 3 + 80 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10405168381) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664429 + ... + 679908.
Almost surely, 210405168380 is an apocalyptic number.
10405168380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10405168380 is an abundant number, since it is smaller than the sum of its proper divisors (21891207732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10405168380 is a wasteful number, since it uses less digits than its factorization.
10405168380 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1344395 (or 1344390 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 10405168380 in words is "ten billion, four hundred five million, one hundred sixty-eight thousand, three hundred eighty".