1045238386920 has 1024 divisors, whose sum is σ = 4237664256000. Its totient is φ = 200060928000.

The previous prime is 1045238386853. The next prime is 1045238386937. The reversal of 1045238386920 is 296838325401.

It is a happy number.

It is a super-2 number, since 2×1045238386920² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 649619076 + ... + 649620684.

It is an arithmetic number, because the mean of its divisors is an integer number (4138344000).

Almost surely, 2^{1045238386920} is an apocalyptic number.

1045238386920 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 1045238386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118832128000).

1045238386920 is an abundant number, since it is smaller than the sum of its proper divisors (3192425869080).

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

1045238386920 is a wasteful number, since it uses less digits than its factorization.

1045238386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1045238386920 in words is "one trillion, forty-five billion, two hundred thirty-eight million, three hundred eighty-six thousand, nine hundred twenty".