1457225133441 has 32 divisors (see below), whose sum is σ = 2442420105216. Its totient is φ = 757000054800.

The previous prime is 1457225133421. The next prime is 1457225133487. The reversal of 1457225133441 is 1443315227541.

It is a happy number.

It is not a de Polignac number, because 1457225133441 - 2¹⁷ = 1457225002369 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1457225133393 and 1457225133402.

It is not an unprimeable number, because it can be changed into a prime (1457225133421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26039545 + ... + 26095446.

It is an arithmetic number, because the mean of its divisors is an integer number (76325628288).

Almost surely, 2^{1457225133441} is an apocalyptic number.

1457225133441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1457225133441 is a deficient number, since it is larger than the sum of its proper divisors (985194971775).

1457225133441 is an equidigital number, since it uses as much as digits as its factorization.

1457225133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52135034 (or 52135012 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The spelling of 1457225133441 in words is "one trillion, four hundred fifty-seven billion, two hundred twenty-five million, one hundred thirty-three thousand, four hundred forty-one".