205713772440 has 128 divisors (see below), whose sum is σ = 696460550400. Its totient is φ = 48150341120.

The previous prime is 205713772393. The next prime is 205713772463. The reversal of 205713772440 is 44277317502.

It is a super-2 number, since 2×205713772440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205713772392 and 205713772401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2648682 + ... + 2725241.

It is an arithmetic number, because the mean of its divisors is an integer number (5441098050).

Almost surely, 2^205713772440 is an apocalyptic number.

205713772440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205713772440 is an abundant number, since it is smaller than the sum of its proper divisors (490746777960).

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

205713772440 is a wasteful number, since it uses less digits than its factorization.

205713772440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5373977 (or 5373973 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 205713772440 in words is "two hundred five billion, seven hundred thirteen million, seven hundred seventy-two thousand, four hundred forty".