4161518400400 has 45 divisors (see below), whose sum is σ = 9998145978961. Its totient is φ = 1664591040320.

The previous prime is 4161518400373. The next prime is 4161518400449. The reversal of 4161518400400 is 40048151614.

It is a happy number.

The square root of 4161518400400 is 2039980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1498146624144 + 2663371776256 = 1223988^2 + 1631984^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40748601 + ... + 40850599.

Almost surely, 2^{4161518400400} is an apocalyptic number.

4161518400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4161518400400 is the 2039980-th square number.

It is an amenable number.

4161518400400 is an abundant number, since it is smaller than the sum of its proper divisors (5836627578561).

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

4161518400400 is an frugal number, since it uses more digits than its factorization.

4161518400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204016 (or 102006 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The spelling of 4161518400400 in words is "four trillion, one hundred sixty-one billion, five hundred eighteen million, four hundred thousand, four hundred".