412151151343000 has 256 divisors, whose sum is σ = 1004263723008000. Its totient is φ = 158129818560000.

The previous prime is 412151151342943. The next prime is 412151151343031. The reversal of 412151151343000 is 343151151214.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3097626475 + ... + 3097759525.

It is an arithmetic number, because the mean of its divisors is an integer number (3922905168000).

Almost surely, 2^{412151151343000} is an apocalyptic number.

412151151343000 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 412151151343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502131861504000).

412151151343000 is an abundant number, since it is smaller than the sum of its proper divisors (592112571665000).

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

412151151343000 is a wasteful number, since it uses less digits than its factorization.

412151151343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133803 (or 133789 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 412151151343000 in words is "four hundred twelve trillion, one hundred fifty-one billion, one hundred fifty-one million, three hundred forty-three thousand".