415015161800 has 36 divisors (see below), whose sum is σ = 964931433795. Its totient is φ = 166002420480.

The previous prime is 415015161797. The next prime is 415015161829. The reversal of 415015161800 is 8161510514.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 269334012676 + 145681149124 = 518974^2 + 381682^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=455530.

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 8 ways as a sum of consecutive naturals, for example, 9087824 + ... + 9133376.

Almost surely, 2^415015161800 is an apocalyptic number.

415015161800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415015161800 is an abundant number, since it is smaller than the sum of its proper divisors (549916271995).

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

415015161800 is an frugal number, since it uses more digits than its factorization.

415015161800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91122 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 32.

Multiplying 415015161800 by its sum of digits (32), we get a square (13280485177600 = 3644240²).

The spelling of 415015161800 in words is "four hundred fifteen billion, fifteen million, one hundred sixty-one thousand, eight hundred".