412052401434000 has 80 divisors (see below), whose sum is σ = 1328456942242560. Its totient is φ = 109880640380800.

The previous prime is 412052401433999. The next prime is 412052401434049. The reversal of 412052401434000 is 434104250214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34337694120 + ... + 34337706119.

It is an arithmetic number, because the mean of its divisors is an integer number (16605711778032).

Almost surely, 2^{412052401434000} is an apocalyptic number.

412052401434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412052401434000 is an abundant number, since it is smaller than the sum of its proper divisors (916404540808560).

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

412052401434000 is a wasteful number, since it uses less digits than its factorization.

412052401434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68675400265 (or 68675400249 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 412052401434000 its reverse (434104250214), we get a palindrome (412486505684214).

The spelling of 412052401434000 in words is "four hundred twelve trillion, fifty-two billion, four hundred one million, four hundred thirty-four thousand".