1029478850144 has 96 divisors (see below), whose sum is σ = 2224267879680. Its totient is φ = 467319670272.

The previous prime is 1029478850143. The next prime is 1029478850149. The reversal of 1029478850144 is 4410588749201.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029478850143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014149 + ... + 1757115.

It is an arithmetic number, because the mean of its divisors is an integer number (23169457080).

Almost surely, 2^{1029478850144} 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 1029478850144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112133939840).

1029478850144 is an abundant number, since it is smaller than the sum of its proper divisors (1194789029536).

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

1029478850144 is a wasteful number, since it uses less digits than its factorization.

1029478850144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743092 (or 743084 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 1029478850144 in words is "one trillion, twenty-nine billion, four hundred seventy-eight million, eight hundred fifty thousand, one hundred forty-four".