940198456320 has 352 divisors, whose sum is σ = 3175327361280. Its totient is φ = 236781895680.

The previous prime is 940198456303. The next prime is 940198456331. The reversal of 940198456320 is 23654891049.

It is a super-3 number, since 3×940198456320³ (a number of 37 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 96594174 + ... + 96603906.

Almost surely, 2^940198456320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940198456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587663680640).

940198456320 is an abundant number, since it is smaller than the sum of its proper divisors (2235128904960).

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

940198456320 is a wasteful number, since it uses less digits than its factorization.

940198456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111 (or 10093 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 940198456320 in words is "nine hundred forty billion, one hundred ninety-eight million, four hundred fifty-six thousand, three hundred twenty".