204214401141000 has 512 divisors, whose sum is σ = 648475719091200. Its totient is φ = 53495070720000.

The previous prime is 204214401140747. The next prime is 204214401141019. The reversal of 204214401141000 is 141104412402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85338235804 + ... + 85338238196.

It is an arithmetic number, because the mean of its divisors is an integer number (1266554138850).

Almost surely, 2^{204214401141000} is an apocalyptic number.

204214401141000 is a gapful number since it is divisible by the number (20) 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 204214401141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324237859545600).

204214401141000 is an abundant number, since it is smaller than the sum of its proper divisors (444261317950200).

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

204214401141000 is a wasteful number, since it uses less digits than its factorization.

204214401141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 204214401141000 its reverse (141104412402), we get a palindrome (204355505553402).

The spelling of 204214401141000 in words is "two hundred four trillion, two hundred fourteen billion, four hundred one million, one hundred forty-one thousand".