355352940800 has 432 divisors, whose sum is σ = 1050995856960. Its totient is φ = 117239808000.

The previous prime is 355352940793. The next prime is 355352940809. The reversal of 355352940800 is 8049253553.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (355352940809) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53993510 + ... + 54000090.

It is an arithmetic number, because the mean of its divisors is an integer number (2432860780).

Almost surely, 2^355352940800 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 355352940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525497928480).

355352940800 is an abundant number, since it is smaller than the sum of its proper divisors (695642916160).

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

355352940800 is a wasteful number, since it uses less digits than its factorization.

355352940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6690 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 355352940800 in words is "three hundred fifty-five billion, three hundred fifty-two million, nine hundred forty thousand, eight hundred".