291141480960 has 960 divisors, whose sum is σ = 1171095045120. Its totient is φ = 66103050240.

The previous prime is 291141480953. The next prime is 291141480961. The reversal of 291141480960 is 69084141192.

It is a happy number.

291141480960 is a `hidden beast` number, since 29 + 1 + 141 + 480 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (291141480961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 495981787 + ... + 495982373.

It is an arithmetic number, because the mean of its divisors is an integer number (1219890672).

Almost surely, 2^291141480960 is an apocalyptic number.

291141480960 is a gapful number since it is divisible by the number (20) 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 291141480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585547522560).

291141480960 is an abundant number, since it is smaller than the sum of its proper divisors (879953564160).

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

291141480960 is a wasteful number, since it uses less digits than its factorization.

291141480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 291141480960 in words is "two hundred ninety-one billion, one hundred forty-one million, four hundred eighty thousand, nine hundred sixty".