1457429485760 has 112 divisors (see below), whose sum is σ = 3654595830240. Its totient is φ = 552072314880.

The previous prime is 1457429485751. The next prime is 1457429485801. The reversal of 1457429485760 is 675849247541.

It is a junction number, because it is equal to n+sod(n) for n = 1457429485693 and 1457429485702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15889952 + ... + 15981408.

Almost surely, 2^{1457429485760} is an apocalyptic number.

1457429485760 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 1457429485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827297915120).

1457429485760 is an abundant number, since it is smaller than the sum of its proper divisors (2197166344480).

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

1457429485760 is a wasteful number, since it uses less digits than its factorization.

1457429485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94114 (or 94104 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 62.

The spelling of 1457429485760 in words is "one trillion, four hundred fifty-seven billion, four hundred twenty-nine million, four hundred eighty-five thousand, seven hundred sixty".