205410423540 has 288 divisors, whose sum is σ = 706570905600. Its totient is φ = 44367316224.

The previous prime is 205410423523. The next prime is 205410423541. The reversal of 205410423540 is 45324014502.

It is a super-2 number, since 2×205410423540² (a number of 23 digits) contains 22 as substring.

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 = 205410423498 and 205410423507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205410423541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5594161 + ... + 5630759.

It is an arithmetic number, because the mean of its divisors is an integer number (2453371200).

Almost surely, 2^205410423540 is an apocalyptic number.

205410423540 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 205410423540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353285452800).

205410423540 is an abundant number, since it is smaller than the sum of its proper divisors (501160482060).

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

205410423540 is a wasteful number, since it uses less digits than its factorization.

205410423540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36731 (or 36722 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 205410423540 in words is "two hundred five billion, four hundred ten million, four hundred twenty-three thousand, five hundred forty".