413354961920 has 352 divisors, whose sum is σ = 1070619778368. Its totient is φ = 152580390912.

The previous prime is 413354961919. The next prime is 413354961977. The reversal of 413354961920 is 29169453314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1460618099 + ... + 1460618381.

Almost surely, 2^413354961920 is an apocalyptic number.

413354961920 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 413354961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535309889184).

413354961920 is an abundant number, since it is smaller than the sum of its proper divisors (657264816448).

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

413354961920 is a wasteful number, since it uses less digits than its factorization.

413354961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 413354961920 in words is "four hundred thirteen billion, three hundred fifty-four million, nine hundred sixty-one thousand, nine hundred twenty".