205480007040 has 512 divisors, whose sum is σ = 818187402240. Its totient is φ = 42613309440.

The previous prime is 205480007023. The next prime is 205480007069. The reversal of 205480007040 is 40700084502.

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 = 205480006989 and 205480007007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100086654 + ... + 100088706.

It is an arithmetic number, because the mean of its divisors is an integer number (1598022270).

Almost surely, 2^205480007040 is an apocalyptic number.

205480007040 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 205480007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409093701120).

205480007040 is an abundant number, since it is smaller than the sum of its proper divisors (612707395200).

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

205480007040 is a wasteful number, since it uses less digits than its factorization.

205480007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 205480007040 in words is "two hundred five billion, four hundred eighty million, seven thousand, forty".