1038826645920 has 960 divisors, whose sum is σ = 4589577780480. Its totient is φ = 215763222528.

The previous prime is 1038826645919. The next prime is 1038826645931. The reversal of 1038826645920 is 295466288301.

1038826645920 is a `hidden beast` number, since 1 + 0 + 38 + 82 + 66 + 459 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44713347 + ... + 44736573.

It is an arithmetic number, because the mean of its divisors is an integer number (4780810188).

Almost surely, 2^{1038826645920} is an apocalyptic number.

1038826645920 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 1038826645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294788890240).

1038826645920 is an abundant number, since it is smaller than the sum of its proper divisors (3550751134560).

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

1038826645920 is a wasteful number, since it uses less digits than its factorization.

1038826645920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23307 (or 23290 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1038826645920 in words is "one trillion, thirty-eight billion, eight hundred twenty-six million, six hundred forty-five thousand, nine hundred twenty".