4106603216400 has 120 divisors (see below), whose sum is σ = 13223693105664. Its totient is φ = 1089360652800.

The previous prime is 4106603216363. The next prime is 4106603216447. The reversal of 4106603216400 is 46123066014.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8729359 + ... + 9187758.

Almost surely, 2^{4106603216400} is an apocalyptic number.

4106603216400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4106603216400 is an abundant number, since it is smaller than the sum of its proper divisors (9117089889264).

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

4106603216400 is a wasteful number, since it uses less digits than its factorization.

4106603216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17917329 (or 17917318 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 4106603216400 in words is "four trillion, one hundred six billion, six hundred three million, two hundred sixteen thousand, four hundred".