1021317456460 has 96 divisors (see below), whose sum is σ = 2582637120000. Its totient is φ = 331419050496.

The previous prime is 1021317456437. The next prime is 1021317456473. The reversal of 1021317456460 is 646547131201.

1021317456460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2607331 + ... + 2973349.

It is an arithmetic number, because the mean of its divisors is an integer number (26902470000).

Almost surely, 2^{1021317456460} is an apocalyptic number.

1021317456460 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 1021317456460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291318560000).

1021317456460 is an abundant number, since it is smaller than the sum of its proper divisors (1561319663540).

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

1021317456460 is a wasteful number, since it uses less digits than its factorization.

1021317456460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367103 (or 367101 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 1021317456460 in words is "one trillion, twenty-one billion, three hundred seventeen million, four hundred fifty-six thousand, four hundred sixty".