1029613384128 has 448 divisors, whose sum is σ = 3475392998400. Its totient is φ = 261890703360.

The previous prime is 1029613384123. The next prime is 1029613384183. The reversal of 1029613384128 is 8214833169201.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029613384123) 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, 359877418 + ... + 359880278.

Almost surely, 2^{1029613384128} 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 1029613384128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737696499200).

1029613384128 is an abundant number, since it is smaller than the sum of its proper divisors (2445779614272).

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

1029613384128 is a wasteful number, since it uses less digits than its factorization.

1029613384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 1029613384128 in words is "one trillion, twenty-nine billion, six hundred thirteen million, three hundred eighty-four thousand, one hundred twenty-eight".