940941054144 has 1008 divisors, whose sum is σ = 3688994400000. Its totient is φ = 235052181504.

The previous prime is 940941054091. The next prime is 940941054187. The reversal of 940941054144 is 441450149049.

940941054144 is a `hidden beast` number, since 9 + 4 + 0 + 94 + 10 + 541 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 940941054144.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 188223357 + ... + 188228355.

Almost surely, 2^940941054144 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 940941054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844497200000).

940941054144 is an abundant number, since it is smaller than the sum of its proper divisors (2748053345856).

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

940941054144 is a wasteful number, since it uses less digits than its factorization.

940941054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5072 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 940941054144 in words is "nine hundred forty billion, nine hundred forty-one million, fifty-four thousand, one hundred forty-four".