1030468601344 has 240 divisors, whose sum is σ = 2662541836416. Its totient is φ = 394503782400.

The previous prime is 1030468601333. The next prime is 1030468601353. The reversal of 1030468601344 is 4431068640301.

1030468601344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1030468601297 and 1030468601306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10059504 + ... + 10161424.

Almost surely, 2^{1030468601344} is an apocalyptic number.

1030468601344 is a gapful number since it is divisible by the number (14) 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 1030468601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331270918208).

1030468601344 is an abundant number, since it is smaller than the sum of its proper divisors (1632073235072).

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

1030468601344 is a wasteful number, since it uses less digits than its factorization.

1030468601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101997 (or 101974 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1030468601344 in words is "one trillion, thirty billion, four hundred sixty-eight million, six hundred one thousand, three hundred forty-four".