1263540044448 has 240 divisors, whose sum is σ = 4056386130720. Its totient is φ = 382652121600.

The previous prime is 1263540044443. The next prime is 1263540044449. The reversal of 1263540044448 is 8444400453621.

It is a happy number.

1263540044448 is a `hidden beast` number, since 1 + 2 + 63 + 540 + 0 + 4 + 4 + 4 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (1263540044443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48714043 + ... + 48739973.

It is an arithmetic number, because the mean of its divisors is an integer number (16901608878).

Almost surely, 2^{1263540044448} is an apocalyptic number.

1263540044448 is a gapful number since it is divisible by the number (18) 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 1263540044448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028193065360).

1263540044448 is an abundant number, since it is smaller than the sum of its proper divisors (2792846086272).

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

1263540044448 is a wasteful number, since it uses less digits than its factorization.

1263540044448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27673 (or 27656 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1263540044448 in words is "one trillion, two hundred sixty-three billion, five hundred forty million, forty-four thousand, four hundred forty-eight".