1038970682880 has 480 divisors, whose sum is σ = 3785995002240. Its totient is φ = 242280529920.

The previous prime is 1038970682879. The next prime is 1038970682903. The reversal of 1038970682880 is 882860798301.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24639415 + ... + 24681545.

It is an arithmetic number, because the mean of its divisors is an integer number (7887489588).

Almost surely, 2^{1038970682880} is an apocalyptic number.

1038970682880 is a gapful number since it is divisible by the number (10) 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 1038970682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892997501120).

1038970682880 is an abundant number, since it is smaller than the sum of its proper divisors (2747024319360).

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

1038970682880 is a wasteful number, since it uses less digits than its factorization.

1038970682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42202 (or 42173 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 1038970682880 in words is "one trillion, thirty-eight billion, nine hundred seventy million, six hundred eighty-two thousand, eight hundred eighty".