412433511452000 has 192 divisors, whose sum is σ = 1014733878709824. Its totient is φ = 164748081254400.

The previous prime is 412433511451979. The next prime is 412433511452021. The reversal of 412433511452000 is 254115334214.

It is an interprime number because it is at equal distance from previous prime (412433511451979) and next prime (412433511452021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13406788619 + ... + 13406819381.

It is an arithmetic number, because the mean of its divisors is an integer number (5285072284947).

Almost surely, 2^{412433511452000} is an apocalyptic number.

412433511452000 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 412433511452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507366939354912).

412433511452000 is an abundant number, since it is smaller than the sum of its proper divisors (602300367257824).

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

412433511452000 is a wasteful number, since it uses less digits than its factorization.

412433511452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35258 (or 35240 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 412433511452000 its reverse (254115334214), we get a palindrome (412687626786214).

The spelling of 412433511452000 in words is "four hundred twelve trillion, four hundred thirty-three billion, five hundred eleven million, four hundred fifty-two thousand".