413552762880 has 224 divisors, whose sum is σ = 1325451804768. Its totient is φ = 110100480000.

The previous prime is 413552762837. The next prime is 413552762927. The reversal of 413552762880 is 88267255314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86136480 + ... + 86141280.

It is an arithmetic number, because the mean of its divisors is an integer number (5917195557).

Almost surely, 2^413552762880 is an apocalyptic number.

413552762880 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 413552762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662725902384).

413552762880 is an abundant number, since it is smaller than the sum of its proper divisors (911899041888).

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

413552762880 is an equidigital number, since it uses as much as digits as its factorization.

413552762880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5536 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 413552762880 in words is "four hundred thirteen billion, five hundred fifty-two million, seven hundred sixty-two thousand, eight hundred eighty".