1029890119104 has 1008 divisors, whose sum is σ = 4015986863616. Its totient is φ = 248629248000.

The previous prime is 1029890119103. The next prime is 1029890119157. The reversal of 1029890119104 is 4019110989201.

It is a happy number.

1029890119104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 1029890119104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029890119103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 438063529 + ... + 438065879.

It is an arithmetic number, because the mean of its divisors is an integer number (3984113952).

Almost surely, 2^{1029890119104} is an apocalyptic number.

1029890119104 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 1029890119104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007993431808).

1029890119104 is an abundant number, since it is smaller than the sum of its proper divisors (2986096744512).

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

1029890119104 is a wasteful number, since it uses less digits than its factorization.

1029890119104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 1029890119104 in words is "one trillion, twenty-nine billion, eight hundred ninety million, one hundred nineteen thousand, one hundred four".