205214545343040 has 112 divisors (see below), whose sum is σ = 651562395607680. Its totient is φ = 54723356835840.

The previous prime is 205214545343029. The next prime is 205214545343057. The reversal of 205214545343040 is 40343545412502.

It is a super-2 number, since 2×205214545343040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205214545342983 and 205214545343001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105481821 + ... + 107409699.

Almost surely, 2^{205214545343040} is an apocalyptic number.

205214545343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205214545343040 is an abundant number, since it is smaller than the sum of its proper divisors (446347850264640).

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

205214545343040 is a wasteful number, since it uses less digits than its factorization.

205214545343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038780 (or 2038770 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 205214545343040 in words is "two hundred five trillion, two hundred fourteen billion, five hundred forty-five million, three hundred forty-three thousand, forty".