1038816621972 has 144 divisors (see below), whose sum is σ = 2877449702400. Its totient is φ = 314577239040.

The previous prime is 1038816621971. The next prime is 1038816622009. The reversal of 1038816621972 is 2791266188301.

1038816621972 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 8 + 1 + 6 + 621 + 9 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038816621971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7309729 + ... + 7450487.

It is an arithmetic number, because the mean of its divisors is an integer number (19982289600).

Almost surely, 2^{1038816621972} is an apocalyptic number.

1038816621972 is a gapful number since it is divisible by the number (12) 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 1038816621972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438724851200).

1038816621972 is an abundant number, since it is smaller than the sum of its proper divisors (1838633080428).

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

1038816621972 is a wasteful number, since it uses less digits than its factorization.

1038816621972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141206 (or 141201 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1038816621972 in words is "one trillion, thirty-eight billion, eight hundred sixteen million, six hundred twenty-one thousand, nine hundred seventy-two".