1024457945160 has 256 divisors, whose sum is σ = 3425710579200. Its totient is φ = 243351134208.

The previous prime is 1024457945143. The next prime is 1024457945177. The reversal of 1024457945160 is 615497544201.

It is an interprime number because it is at equal distance from previous prime (1024457945143) and next prime (1024457945177).

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 63 ways as a sum of consecutive naturals, for example, 108254589 + ... + 108264051.

It is an arithmetic number, because the mean of its divisors is an integer number (13381681950).

Almost surely, 2^{1024457945160} is an apocalyptic number.

1024457945160 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 1024457945160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712855289600).

1024457945160 is an abundant number, since it is smaller than the sum of its proper divisors (2401252634040).

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

1024457945160 is a wasteful number, since it uses less digits than its factorization.

1024457945160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 1024457945160 in words is "one trillion, twenty-four billion, four hundred fifty-seven million, nine hundred forty-five thousand, one hundred sixty".