4206416465400 has 96 divisors (see below), whose sum is σ = 13174323091440. Its totient is φ = 1110147010560.

The previous prime is 4206416465371. The next prime is 4206416465401. The reversal of 4206416465400 is 45646146024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4206416465401) 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, 36079399 + ... + 36195798.

Almost surely, 2^{4206416465400} is an apocalyptic number.

4206416465400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4206416465400 is an abundant number, since it is smaller than the sum of its proper divisors (8967906626040).

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

4206416465400 is a wasteful number, since it uses less digits than its factorization.

4206416465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72275313 (or 72275304 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4206416465400 in words is "four trillion, two hundred six billion, four hundred sixteen million, four hundred sixty-five thousand, four hundred".