1255263229440 has 1280 divisors, whose sum is σ = 5287204454400. Its totient is φ = 278890905600.

The previous prime is 1255263229439. The next prime is 1255263229477. The reversal of 1255263229440 is 449223625521.

1255263229440 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 2 + 632 + 2 + 9 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447827079 + ... + 447829881.

It is an arithmetic number, because the mean of its divisors is an integer number (4130628480).

Almost surely, 2^{1255263229440} is an apocalyptic number.

1255263229440 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 1255263229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643602227200).

1255263229440 is an abundant number, since it is smaller than the sum of its proper divisors (4031941224960).

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

1255263229440 is a wasteful number, since it uses less digits than its factorization.

1255263229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1255263229440 in words is "one trillion, two hundred fifty-five billion, two hundred sixty-three million, two hundred twenty-nine thousand, four hundred forty".