1038217062400 has 288 divisors, whose sum is σ = 2969489315520. Its totient is φ = 352620380160.

The previous prime is 1038217062391. The next prime is 1038217062403. The reversal of 1038217062400 is 42607128301.

It is not an unprimeable number, because it can be changed into a prime (1038217062403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38335264 + ... + 38362336.

It is an arithmetic number, because the mean of its divisors is an integer number (10310726790).

Almost surely, 2^{1038217062400} is an apocalyptic number.

1038217062400 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 1038217062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484744657760).

1038217062400 is an abundant number, since it is smaller than the sum of its proper divisors (1931272253120).

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

1038217062400 is a wasteful number, since it uses less digits than its factorization.

1038217062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27219 (or 27194 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 1038217062400 in words is "one trillion, thirty-eight billion, two hundred seventeen million, sixty-two thousand, four hundred".