1038275496000 has 1120 divisors, whose sum is σ = 3985038300672. Its totient is φ = 266698137600.

The previous prime is 1038275495897. The next prime is 1038275496053. The reversal of 1038275496000 is 6945728301.

1038275496000 is a `hidden beast` number, since 1 + 0 + 38 + 2 + 7 + 5 + 4 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 2223287767 + ... + 2223288233.

It is a 1-persistent number, because it is pandigital, but 2⋅1038275496000 = 2076550992000 is not.

Almost surely, 2^{1038275496000} is an apocalyptic number.

1038275496000 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 1038275496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992519150336).

1038275496000 is an abundant number, since it is smaller than the sum of its proper divisors (2946762804672).

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

1038275496000 is an equidigital number, since it uses as much as digits as its factorization.

1038275496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1038275496000 in words is "one trillion, thirty-eight billion, two hundred seventy-five million, four hundred ninety-six thousand".