355293340080 has 240 divisors, whose sum is σ = 1337155249920. Its totient is φ = 76432748544.

The previous prime is 355293340069. The next prime is 355293340081. The reversal of 355293340080 is 80043392553.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (355293340081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119631 + ... + 851409.

It is an arithmetic number, because the mean of its divisors is an integer number (5571480208).

Almost surely, 2^355293340080 is an apocalyptic number.

355293340080 is a gapful number since it is divisible by the number (30) 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 355293340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668577624960).

355293340080 is an abundant number, since it is smaller than the sum of its proper divisors (981861909840).

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

355293340080 is a wasteful number, since it uses less digits than its factorization.

355293340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731836 (or 731813 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 355293340080 in words is "three hundred fifty-five billion, two hundred ninety-three million, three hundred forty thousand, eighty".