938820430080 has 1008 divisors, whose sum is σ = 3658879704816. Its totient is φ = 229323571200.

The previous prime is 938820430063. The next prime is 938820430081. The reversal of 938820430080 is 80034028839.

It can be written as a sum of positive squares in 8 ways, for example, as 3251736576 + 935568693504 = 57024^2 + 967248^2 .

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

It is not an unprimeable number, because it can be changed into a prime (938820430081) 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 111 ways as a sum of consecutive naturals, for example, 2341197880 + ... + 2341198280.

It is an arithmetic number, because the mean of its divisors is an integer number (3629840977).

Almost surely, 2^938820430080 is an apocalyptic number.

938820430080 is a gapful number since it is divisible by the number (90) 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 938820430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829439852408).

938820430080 is an abundant number, since it is smaller than the sum of its proper divisors (2720059274736).

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

938820430080 is a wasteful number, since it uses less digits than its factorization.

938820430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 938820 and 430080, that added together give a square (1368900 = 1170²).

The spelling of 938820430080 in words is "nine hundred thirty-eight billion, eight hundred twenty million, four hundred thirty thousand, eighty".