821429394912000 has 3456 divisors, whose sum is σ = 3651451964160000. Its totient is φ = 173117797171200.

The previous prime is 821429394911969. The next prime is 821429394912001. The reversal of 821429394912000 is 219493924128.

It is a happy number.

821429394912000 is a `hidden beast` number, since 8 + 2 + 1 + 42 + 9 + 394 + 9 + 1 + 200 + 0 = 666.

821429394912000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (821429394912001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 574828127286 + ... + 574828128714.

Almost surely, 2^{821429394912000} is an apocalyptic number.

821429394912000 is a gapful number since it is divisible by the number (80) 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 821429394912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825725982080000).

821429394912000 is an abundant number, since it is smaller than the sum of its proper divisors (2830022569248000).

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

821429394912000 is a wasteful number, since it uses less digits than its factorization.

821429394912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 821429394912000 in words is "eight hundred twenty-one trillion, four hundred twenty-nine billion, three hundred ninety-four million, nine hundred twelve thousand".