204011550124140 has 384 divisors, whose sum is σ = 654283718000640. Its totient is φ = 47042359372800.

The previous prime is 204011550124111. The next prime is 204011550124159. The reversal of 204011550124140 is 41421055110402.

204011550124140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 204011550124098 and 204011550124107.

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, 9037845894 + ... + 9037868466.

It is an arithmetic number, because the mean of its divisors is an integer number (1703863848960).

Almost surely, 2^{204011550124140} is an apocalyptic number.

204011550124140 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 204011550124140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327141859000320).

204011550124140 is an abundant number, since it is smaller than the sum of its proper divisors (450272167876500).

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

204011550124140 is a wasteful number, since it uses less digits than its factorization.

204011550124140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30173 (or 30171 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 204011550124140 in words is "two hundred four trillion, eleven billion, five hundred fifty million, one hundred twenty-four thousand, one hundred forty".