1261230410440 has 256 divisors, whose sum is σ = 3833545605120. Its totient is φ = 360643415040.

The previous prime is 1261230410417. The next prime is 1261230410443. The reversal of 1261230410440 is 440140321621.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1261230410399 and 1261230410408.

It is not an unprimeable number, because it can be changed into a prime (1261230410443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6429897 + ... + 6623143.

It is an arithmetic number, because the mean of its divisors is an integer number (14974787520).

Almost surely, 2^{1261230410440} is an apocalyptic number.

1261230410440 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 1261230410440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916772802560).

1261230410440 is an abundant number, since it is smaller than the sum of its proper divisors (2572315194680).

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

1261230410440 is a wasteful number, since it uses less digits than its factorization.

1261230410440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193452 (or 193448 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 1261230410440 in words is "one trillion, two hundred sixty-one billion, two hundred thirty million, four hundred ten thousand, four hundred forty".