413345551200 has 144 divisors (see below), whose sum is σ = 1368244301760. Its totient is φ = 108357214720.

The previous prime is 413345551189. The next prime is 413345551231. The reversal of 413345551200 is 2155543314.

It is a super-3 number, since 3×413345551200³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317954 + ... + 1601153.

It is an arithmetic number, because the mean of its divisors is an integer number (9501696540).

Almost surely, 2^413345551200 is an apocalyptic number.

413345551200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413345551200 is an abundant number, since it is smaller than the sum of its proper divisors (954898750560).

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

413345551200 is a wasteful number, since it uses less digits than its factorization.

413345551200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919189 (or 2919176 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 413345551200 in words is "four hundred thirteen billion, three hundred forty-five million, five hundred fifty-one thousand, two hundred".