940445958144 has 384 divisors, whose sum is σ = 3182641740000. Its totient is φ = 244257914880.

The previous prime is 940445958131. The next prime is 940445958181. The reversal of 940445958144 is 441859544049.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×940445958144³ (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 23 ways as a sum of consecutive naturals, for example, 52976982 + ... + 52994730.

Almost surely, 2^940445958144 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 940445958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591320870000).

940445958144 is an abundant number, since it is smaller than the sum of its proper divisors (2242195781856).

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

940445958144 is a wasteful number, since it uses less digits than its factorization.

940445958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17772 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 940445958144 in words is "nine hundred forty billion, four hundred forty-five million, nine hundred fifty-eight thousand, one hundred forty-four".