1048110029142 has 128 divisors (see below), whose sum is σ = 2474043015168. Its totient is φ = 292421337600.

The previous prime is 1048110029137. The next prime is 1048110029203. The reversal of 1048110029142 is 2419200118401.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149919267 + ... + 149926257.

It is an arithmetic number, because the mean of its divisors is an integer number (19328461056).

Almost surely, 2^{1048110029142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048110029142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237021507584).

1048110029142 is an abundant number, since it is smaller than the sum of its proper divisors (1425932986026).

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

1048110029142 is a wasteful number, since it uses less digits than its factorization.

1048110029142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914.

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 1048110029142 in words is "one trillion, forty-eight billion, one hundred ten million, twenty-nine thousand, one hundred forty-two".