1038225016920 has 256 divisors, whose sum is σ = 3841087703040. Its totient is φ = 218617417728.

The previous prime is 1038225016903. The next prime is 1038225016963. The reversal of 1038225016920 is 296105228301.

It is a super-2 number, since 2×1038225016920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5398252 + ... + 5587268.

It is an arithmetic number, because the mean of its divisors is an integer number (15004248840).

Almost surely, 2^{1038225016920} is an apocalyptic number.

1038225016920 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 1038225016920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920543851520).

1038225016920 is an abundant number, since it is smaller than the sum of its proper divisors (2802862686120).

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

1038225016920 is a wasteful number, since it uses less digits than its factorization.

1038225016920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189554 (or 189550 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 1038225016920 in words is "one trillion, thirty-eight billion, two hundred twenty-five million, sixteen thousand, nine hundred twenty".