413826653283840 has 240 divisors, whose sum is σ = 1434996393758928. Its totient is φ = 110215307870208.

The previous prime is 413826653283817. The next prime is 413826653283851. The reversal of 413826653283840 is 48382356628314.

413826653283840 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 2 + 66 + 532 + 8 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7094859 + ... + 29630901.

Almost surely, 2^{413826653283840} is an apocalyptic number.

413826653283840 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 413826653283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717498196879464).

413826653283840 is an abundant number, since it is smaller than the sum of its proper divisors (1021169740475088).

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

413826653283840 is a wasteful number, since it uses less digits than its factorization.

413826653283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22536869 (or 22536850 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 413826653283840 in words is "four hundred thirteen trillion, eight hundred twenty-six billion, six hundred fifty-three million, two hundred eighty-three thousand, eight hundred forty".