1205490263040 has 2464 divisors, whose sum is σ = 5386873409280. Its totient is φ = 252829237248.

The previous prime is 1205490262939. The next prime is 1205490263123. The reversal of 1205490263040 is 403620945021.

It is a happy number.

1205490263040 is a `hidden beast` number, since 1 + 20 + 549 + 0 + 26 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1205490262986 and 1205490263004.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28034657259 + ... + 28034657301.

Almost surely, 2^{1205490263040} is an apocalyptic number.

1205490263040 is a gapful number since it is divisible by the number (10) 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 1205490263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693436704640).

1205490263040 is an abundant number, since it is smaller than the sum of its proper divisors (4181383146240).

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

1205490263040 is an equidigital number, since it uses as much as digits as its factorization.

1205490263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1205490263040 in words is "one trillion, two hundred five billion, four hundred ninety million, two hundred sixty-three thousand, forty".