941408869536 has 96 divisors (see below), whose sum is σ = 2748549081600. Its totient is φ = 313486018560.

The previous prime is 941408869493. The next prime is 941408869537. The reversal of 941408869536 is 635968804149.

941408869536 is a `hidden beast` number, since 9 + 4 + 14 + 0 + 8 + 86 + 9 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (941408869537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306480 + ... + 1405968.

It is an arithmetic number, because the mean of its divisors is an integer number (28630719600).

Almost surely, 2^941408869536 is an apocalyptic number.

941408869536 is a gapful number since it is divisible by the number (96) 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 941408869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374274540800).

941408869536 is an abundant number, since it is smaller than the sum of its proper divisors (1807140212064).

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

941408869536 is a wasteful number, since it uses less digits than its factorization.

941408869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100499 (or 1100485 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 941408869536 in words is "nine hundred forty-one billion, four hundred eight million, eight hundred sixty-nine thousand, five hundred thirty-six".