1255337321472 has 792 divisors, whose sum is σ = 4066371772008. Its totient is φ = 372650803200.

The previous prime is 1255337321461. The next prime is 1255337321473. The reversal of 1255337321472 is 2741237335521.

1255337321472 is a `hidden beast` number, since 1 + 2 + 5 + 533 + 7 + 32 + 14 + 72 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1215426871296 + 39910450176 = 1102464^2 + 199776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255337321473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6935565222 + ... + 6935565402.

Almost surely, 2^{1255337321472} is an apocalyptic number.

1255337321472 is a gapful number since it is divisible by the number (12) 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 1255337321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033185886004).

1255337321472 is an abundant number, since it is smaller than the sum of its proper divisors (2811034450536).

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

1255337321472 is a wasteful number, since it uses less digits than its factorization.

1255337321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 333 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 1255337321472 in words is "one trillion, two hundred fifty-five billion, three hundred thirty-seven million, three hundred twenty-one thousand, four hundred seventy-two".