4163405400 has 1536 divisors, whose sum is σ = 20570112000. Its totient is φ = 746496000.

The previous prime is 4163405377. The next prime is 4163405401. The reversal of 4163405400 is 45043614.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4163405401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 134303385 + ... + 134303415.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^4163405400 is an apocalyptic number.

4163405400 is a gapful number since it is divisible by the number (40) 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 4163405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056000).

4163405400 is an abundant number, since it is smaller than the sum of its proper divisors (16406706600).

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

4163405400 is a wasteful number, since it uses less digits than its factorization.

4163405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4163405400 is about 64524.4558287786. The cubic root of 4163405400 is about 1608.7290356481.

The spelling of 4163405400 in words is "four billion, one hundred sixty-three million, four hundred five thousand, four hundred".