1008938380000 has 240 divisors, whose sum is σ = 2626507311120. Its totient is φ = 380325888000.

The previous prime is 1008938379937. The next prime is 1008938380013. The reversal of 1008938380000 is 838398001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73333122 + ... + 73346878.

It is an arithmetic number, because the mean of its divisors is an integer number (10943780463).

Almost surely, 2^{1008938380000} is an apocalyptic number.

1008938380000 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 1008938380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313253655560).

1008938380000 is an abundant number, since it is smaller than the sum of its proper divisors (1617568931120).

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

1008938380000 is a wasteful number, since it uses less digits than its factorization.

1008938380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13999 (or 13976 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 1008938380000 in words is "one trillion, eight billion, nine hundred thirty-eight million, three hundred eighty thousand".