413373945600 has 1944 divisors, whose sum is σ = 1915045102880. Its totient is φ = 83209420800.

The previous prime is 413373945577. The next prime is 413373945619. The reversal of 413373945600 is 6549373314.

413373945600 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 7 + 39 + 4 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1805126286 + ... + 1805126514.

Almost surely, 2^413373945600 is an apocalyptic number.

413373945600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413373945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957522551440).

413373945600 is an abundant number, since it is smaller than the sum of its proper divisors (1501671157280).

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

413373945600 is a wasteful number, since it uses less digits than its factorization.

413373945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 413373945600 in words is "four hundred thirteen billion, three hundred seventy-three million, nine hundred forty-five thousand, six hundred".