413823277920 has 768 divisors, whose sum is σ = 1518109350912. Its totient is φ = 93852794880.

The previous prime is 413823277909. The next prime is 413823277957. The reversal of 413823277920 is 29772328314.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 413823277920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1347958407 + ... + 1347958713.

It is an arithmetic number, because the mean of its divisors is an integer number (1976704884).

Almost surely, 2^413823277920 is an apocalyptic number.

413823277920 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 413823277920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759054675456).

413823277920 is an abundant number, since it is smaller than the sum of its proper divisors (1104286072992).

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

413823277920 is a wasteful number, since it uses less digits than its factorization.

413823277920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 413823277920 in words is "four hundred thirteen billion, eight hundred twenty-three million, two hundred seventy-seven thousand, nine hundred twenty".