412998733056 has 1152 divisors, whose sum is σ = 1500302540800. Its totient is φ = 97820835840.

The previous prime is 412998733051. The next prime is 412998733079. The reversal of 412998733056 is 650337899214.

It is a super-3 number, since 3×412998733056³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 412998732987 and 412998733005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412998733051) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3251958465 + ... + 3251958591.

It is a 1-persistent number, because it is pandigital, but 2⋅412998733056 = 825997466112 is not.

Almost surely, 2^412998733056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412998733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750151270400).

412998733056 is an abundant number, since it is smaller than the sum of its proper divisors (1087303807744).

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

412998733056 is a wasteful number, since it uses less digits than its factorization.

412998733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 412998733056 in words is "four hundred twelve billion, nine hundred ninety-eight million, seven hundred thirty-three thousand, fifty-six".