938790363709440 has 1440 divisors, whose sum is σ = 3685409491196160. Its totient is φ = 227357333913600.

The previous prime is 938790363709423. The next prime is 938790363709459. The reversal of 938790363709440 is 44907363097839.

938790363709440 is a `hidden beast` number, since 9 + 3 + 8 + 79 + 0 + 363 + 70 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×938790363709440² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344005261996 + ... + 344005264724.

It is an arithmetic number, because the mean of its divisors is an integer number (2559312146664).

Almost surely, 2^{938790363709440} is an apocalyptic number.

938790363709440 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 938790363709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842704745598080).

938790363709440 is an abundant number, since it is smaller than the sum of its proper divisors (2746619127486720).

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

938790363709440 is a wasteful number, since it uses less digits than its factorization.

938790363709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 938790363709440 in words is "nine hundred thirty-eight trillion, seven hundred ninety billion, three hundred sixty-three million, seven hundred nine thousand, four hundred forty".