413489276928 has 1440 divisors, whose sum is σ = 1595890296000. Its totient is φ = 106516021248.

The previous prime is 413489276923. The next prime is 413489276987. The reversal of 413489276928 is 829672984314.

413489276928 is a `hidden beast` number, since 41 + 3 + 489 + 27 + 6 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413489276923) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9616029675 + ... + 9616029717.

It is an arithmetic number, because the mean of its divisors is an integer number (1108257150).

Almost surely, 2^413489276928 is an apocalyptic number.

413489276928 is a gapful number since it is divisible by the number (48) 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 413489276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797945148000).

413489276928 is an abundant number, since it is smaller than the sum of its proper divisors (1182401019072).

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

413489276928 is an equidigital number, since it uses as much as digits as its factorization.

413489276928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 68 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 413489276928 in words is "four hundred thirteen billion, four hundred eighty-nine million, two hundred seventy-six thousand, nine hundred twenty-eight".