1303055460042 has 384 divisors, whose sum is σ = 3329254656000. Its totient is φ = 332054940672.

The previous prime is 1303055460019. The next prime is 1303055460067. The reversal of 1303055460042 is 2400645503031.

It is a junction number, because it is equal to n+sod(n) for n = 1303055459985 and 1303055460012.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 8299716228 + ... + 8299716384.

It is an arithmetic number, because the mean of its divisors is an integer number (8669934000).

Almost surely, 2^{1303055460042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303055460042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664627328000).

1303055460042 is an abundant number, since it is smaller than the sum of its proper divisors (2026199195958).

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

1303055460042 is a wasteful number, since it uses less digits than its factorization.

1303055460042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 1303055460042 in words is "one trillion, three hundred three billion, fifty-five million, four hundred sixty thousand, forty-two".