941393520144 has 1920 divisors, whose sum is σ = 3805727846400. Its totient is φ = 222213196800.

The previous prime is 941393520143. The next prime is 941393520161. The reversal of 941393520144 is 441025393149.

941393520144 is a `hidden beast` number, since 9 + 413 + 93 + 5 + 2 + 0 + 144 = 666.

941393520144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×941393520144² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 941393520144.

It is not an unprimeable number, because it can be changed into a prime (941393520143) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13259063629 + ... + 13259063699.

It is an arithmetic number, because the mean of its divisors is an integer number (1982149920).

Almost surely, 2^941393520144 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 941393520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902863923200).

941393520144 is an abundant number, since it is smaller than the sum of its proper divisors (2864334326256).

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

941393520144 is a wasteful number, since it uses less digits than its factorization.

941393520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 941393520144 in words is "nine hundred forty-one billion, three hundred ninety-three million, five hundred twenty thousand, one hundred forty-four".