412024545132000 has 192 divisors, whose sum is σ = 1349908660586304. Its totient is φ = 109863749222400.

The previous prime is 412024545131993. The next prime is 412024545132017. The reversal of 412024545132000 is 231545420214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138411264 + ... + 141356736.

It is an arithmetic number, because the mean of its divisors is an integer number (7030774273887).

Almost surely, 2^{412024545132000} is an apocalyptic number.

412024545132000 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 412024545132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674954330293152).

412024545132000 is an abundant number, since it is smaller than the sum of its proper divisors (937884115454304).

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

412024545132000 is a wasteful number, since it uses less digits than its factorization.

412024545132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957158 (or 2957140 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 412024545132000 in words is "four hundred twelve trillion, twenty-four billion, five hundred forty-five million, one hundred thirty-two thousand".