205153541040 has 400 divisors, whose sum is σ = 752245433568. Its totient is φ = 46240395264.

The previous prime is 205153541011. The next prime is 205153541057. The reversal of 205153541040 is 40145351502.

205153541040 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 = 205153540989 and 205153541007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42063082 + ... + 42067958.

Almost surely, 2^205153541040 is an apocalyptic number.

205153541040 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 205153541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376122716784).

205153541040 is an abundant number, since it is smaller than the sum of its proper divisors (547091892528).

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

205153541040 is an equidigital number, since it uses as much as digits as its factorization.

205153541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 205153541040 its reverse (40145351502), we get a palindrome (245298892542).

The spelling of 205153541040 in words is "two hundred five billion, one hundred fifty-three million, five hundred forty-one thousand, forty".