413829478379520 has 3328 divisors, whose sum is σ = 1809141478195200. Its totient is φ = 88743062274048.

The previous prime is 413829478379507. The next prime is 413829478379563. The reversal of 413829478379520 is 25973874928314.

413829478379520 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 2 + 94 + 7 + 8 + 3 + 7 + 9 + 520 = 666.

It is a super-2 number, since 2×413829478379520² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 756543835887 + ... + 756543836433.

Almost surely, 2^{413829478379520} is an apocalyptic number.

413829478379520 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 413829478379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904570739097600).

413829478379520 is an abundant number, since it is smaller than the sum of its proper divisors (1395311999815680).

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

413829478379520 is an equidigital number, since it uses as much as digits as its factorization.

413829478379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 413829478379520 in words is "four hundred thirteen trillion, eight hundred twenty-nine billion, four hundred seventy-eight million, three hundred seventy-nine thousand, five hundred twenty".