1038116454400 has 189 divisors, whose sum is σ = 2587529915481. Its totient is φ = 413159915520.

The previous prime is 1038116454383. The next prime is 1038116454467. The reversal of 1038116454400 is 44546118301.

The square root of 1038116454400 is 1018880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 373721923584 + 664394530816 = 611328^2 + 815104^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1038116454400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5216665501 + ... + 5216665699.

Almost surely, 2^{1038116454400} is an apocalyptic number.

1038116454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1038116454400 is the 1018880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038116454400

1038116454400 is an abundant number, since it is smaller than the sum of its proper divisors (1549413461081).

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

1038116454400 is an frugal number, since it uses more digits than its factorization.

1038116454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 1038116454400 in words is "one trillion, thirty-eight billion, one hundred sixteen million, four hundred fifty-four thousand, four hundred".