1029198464448 has 448 divisors, whose sum is σ = 3599334724608. Its totient is φ = 251276820480.

The previous prime is 1029198464447. The next prime is 1029198464453. The reversal of 1029198464448 is 8444648919201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1029198464448² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1029198464391 and 1029198464400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029198464447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239513436 + ... + 239517732.

It is an arithmetic number, because the mean of its divisors is an integer number (8034229296).

Almost surely, 2^{1029198464448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029198464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799667362304).

1029198464448 is an abundant number, since it is smaller than the sum of its proper divisors (2570136260160).

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

1029198464448 is a wasteful number, since it uses less digits than its factorization.

1029198464448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5300 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 1029198464448 in words is "one trillion, twenty-nine billion, one hundred ninety-eight million, four hundred sixty-four thousand, four hundred forty-eight".