204211542420 has 192 divisors, whose sum is σ = 640882368000. Its totient is φ = 53981955072.

The previous prime is 204211542341. The next prime is 204211542433. The reversal of 204211542420 is 24245112402.

It is a happy number.

204211542420 is a `hidden beast` number, since 2 + 0 + 4 + 211 + 5 + 424 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33534736 + ... + 33540824.

It is an arithmetic number, because the mean of its divisors is an integer number (3337929000).

Almost surely, 2^204211542420 is an apocalyptic number.

204211542420 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 204211542420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320441184000).

204211542420 is an abundant number, since it is smaller than the sum of its proper divisors (436670825580).

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

204211542420 is a wasteful number, since it uses less digits than its factorization.

204211542420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 204211542420 its reverse (24245112402), we get a palindrome (228456654822).

The spelling of 204211542420 in words is "two hundred four billion, two hundred eleven million, five hundred forty-two thousand, four hundred twenty".