941399746560 has 3072 divisors, whose sum is σ = 4564972339200. Its totient is φ = 178362777600.

The previous prime is 941399746477. The next prime is 941399746579. The reversal of 941399746560 is 65647993149.

941399746560 is a `hidden beast` number, since 9 + 413 + 99 + 74 + 6 + 5 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 13259151325 + ... + 13259151395.

It is an arithmetic number, because the mean of its divisors is an integer number (1485993600).

Almost surely, 2^941399746560 is an apocalyptic number.

941399746560 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 941399746560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282486169600).

941399746560 is an abundant number, since it is smaller than the sum of its proper divisors (3623572592640).

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

941399746560 is a wasteful number, since it uses less digits than its factorization.

941399746560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 941399746560 in words is "nine hundred forty-one billion, three hundred ninety-nine million, seven hundred forty-six thousand, five hundred sixty".