1038119090880 has 112 divisors (see below), whose sum is σ = 3310809191424. Its totient is φ = 275590302720.

The previous prime is 1038119090861. The next prime is 1038119090887. The reversal of 1038119090880 is 880909118301.

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

It is not an unprimeable number, because it can be changed into a prime (1038119090887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2210526 + ... + 2638685.

It is an arithmetic number, because the mean of its divisors is an integer number (29560796352).

Almost surely, 2^{1038119090880} is an apocalyptic number.

1038119090880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038119090880 is an abundant number, since it is smaller than the sum of its proper divisors (2272690100544).

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

1038119090880 is a wasteful number, since it uses less digits than its factorization.

1038119090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849454 (or 4849444 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 48.

The spelling of 1038119090880 in words is "one trillion, thirty-eight billion, one hundred nineteen million, ninety thousand, eight hundred eighty".